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Atlas › Integer Profiles › Node 61,323,328

61,323,328

26 × 11 × 87107
Abundant Even Composite

61,323,328 factors as 2^6 × 11 × 87107. Its 28 positive divisors give a proper-divisor sum of 71,429,264, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 87107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 132,752,592
Proper Divisor Sum 71,429,264
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #61323299 ← → #61323329

Radix Representation

Decimal 61323328
Binary 11101001111011100001000000 (26 bits)
Octal 0o351734100
Hexadecimal 0x3A7B840

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 87,107 174,214 348,428 696,856 958,177 1,393,712 1,916,354 2,787,424 3,832,708 5,574,848 7,665,416 15,330,832 30,661,664 61,323,328

Collatz Trajectory (114 steps to reach 1)

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

61,323,328 30,661,664 15,330,832 7,665,416 3,832,708 1,916,354 958,177 2,874,532 1,437,266 718,633 2,155,900 1,077,950 538,975 1,616,926 808,463 2,425,390 1,212,695 3,638,086 1,819,043 5,457,130 2,728,565 8,185,696 4,092,848 2,046,424 1,023,212 511,606 255,803 767,410 383,705 1,151,116 575,558 287,779 863,338 431,669 1,295,008 647,504 323,752 161,876 80,938 40,469 121,408 60,704 30,352 15,176 7,588 3,794 1,897 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802

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