λ
Ratio Atlas
Atlas › Integer Profiles › Node 38,091,328

38,091,328

26 × 11 × 61 × 887
Abundant Even Composite

38,091,328 factors as 2^6 × 11 × 61 × 887. Its 56 positive divisors give a proper-divisor sum of 45,814,016, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 61 × 887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 83,905,344
Proper Divisor Sum 45,814,016
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #38091323 ← → #38091341

Radix Representation

Decimal 38091328
Binary 10010001010011101001000000 (26 bits)
Octal 0o221235100
Hexadecimal 0x2453A40

Divisor Catalog (56)

1 2 4 8 11 16 22 32 44 61 64 88 122 176 244 352 488 671 704 887 976 1,342 1,774 1,952 2,684 3,548 3,904 5,368 7,096 9,757 10,736 14,192 19,514 21,472 28,384 39,028 42,944 54,107 56,768 78,056 108,214 156,112 216,428 312,224 432,856 595,177 624,448 865,712 1,190,354 1,731,424 2,380,708 3,462,848 4,761,416 9,522,832 19,045,664 38,091,328

Collatz Trajectory (196 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

38,091,328 19,045,664 9,522,832 4,761,416 2,380,708 1,190,354 595,177 1,785,532 892,766 446,383 1,339,150 669,575 2,008,726 1,004,363 3,013,090 1,506,545 4,519,636 2,259,818 1,129,909 3,389,728 1,694,864 847,432 423,716 211,858 105,929 317,788 158,894 79,447 238,342 119,171 357,514 178,757 536,272 268,136 134,068 67,034 33,517 100,552 50,276 25,138 12,569 37,708 18,854 9,427 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #38,091,327 Browse Full Index Next Integer #38,091,329 →