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Atlas › Integer Profiles › Node 5,457,936

5,457,936

24 × 3 × 11 × 10337
Abundant Even Composite

5,457,936 factors as 2^4 × 3 × 11 × 10337. Its 40 positive divisors give a proper-divisor sum of 9,925,008, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 10337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,382,944
Proper Divisor Sum 9,925,008
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5457931 ← → #5457967

Radix Representation

Decimal 5457936
Binary 10100110100100000010000 (23 bits)
Octal 0o24644020
Hexadecimal 0x534810

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 10,337 20,674 31,011 41,348 62,022 82,696 113,707 124,044 165,392 227,414 248,088 341,121 454,828 496,176 682,242 909,656 1,364,484 1,819,312 2,728,968 5,457,936

Collatz Trajectory (108 steps to reach 1)

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

5,457,936 2,728,968 1,364,484 682,242 341,121 1,023,364 511,682 255,841 767,524 383,762 191,881 575,644 287,822 143,911 431,734 215,867 647,602 323,801 971,404 485,702 242,851 728,554 364,277 1,092,832 546,416 273,208 136,604 68,302 34,151 102,454 51,227 153,682 76,841 230,524 115,262 57,631 172,894 86,447 259,342 129,671 389,014 194,507 583,522 291,761 875,284 437,642 218,821 656,464 328,232 164,116 82,058 41,029 123,088 61,544 30,772 15,386 7,693 23,080 11,540 5,770

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