λ
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Atlas › Integer Profiles › Node 55,396,288

55,396,288

26 × 433 × 1999
Deficient Even Composite

55,396,288 factors as 2^6 × 433 × 1999. Its 28 positive divisors give a proper-divisor sum of 54,839,712, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^6 × 433 × 1999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 110,236,000
Proper Divisor Sum 54,839,712
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #55396277 ← → #55396291

Radix Representation

Decimal 55396288
Binary 11010011010100011111000000 (26 bits)
Octal 0o323243700
Hexadecimal 0x34D47C0

Divisor Catalog (28)

1 2 4 8 16 32 64 433 866 1,732 1,999 3,464 3,998 6,928 7,996 13,856 15,992 27,712 31,984 63,968 127,936 865,567 1,731,134 3,462,268 6,924,536 13,849,072 27,698,144 55,396,288

Collatz Trajectory (119 steps to reach 1)

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

55,396,288 27,698,144 13,849,072 6,924,536 3,462,268 1,731,134 865,567 2,596,702 1,298,351 3,895,054 1,947,527 5,842,582 2,921,291 8,763,874 4,381,937 13,145,812 6,572,906 3,286,453 9,859,360 4,929,680 2,464,840 1,232,420 616,210 308,105 924,316 462,158 231,079 693,238 346,619 1,039,858 519,929 1,559,788 779,894 389,947 1,169,842 584,921 1,754,764 877,382 438,691 1,316,074 658,037 1,974,112 987,056 493,528 246,764 123,382 61,691 185,074 92,537 277,612 138,806 69,403 208,210 104,105 312,316 156,158 78,079 234,238 117,119 351,358

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