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Atlas › Integer Profiles › Node 55,438,024

55,438,024

23 × 29 × 83 × 2879
Deficient Even Composite

55,438,024 factors as 2^3 × 29 × 83 × 2879. Its 32 positive divisors give a proper-divisor sum of 53,425,976, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 83 × 2879
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 108,864,000
Proper Divisor Sum 53,425,976
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #55437997 ← → #55438039

Radix Representation

Decimal 55438024
Binary 11010011011110101011001000 (26 bits)
Octal 0o323365310
Hexadecimal 0x34DEAC8

Divisor Catalog (32)

1 2 4 8 29 58 83 116 166 232 332 664 2,407 2,879 4,814 5,758 9,628 11,516 19,256 23,032 83,491 166,982 238,957 333,964 477,914 667,928 955,828 1,911,656 6,929,753 13,859,506 27,719,012 55,438,024

Collatz Trajectory (132 steps to reach 1)

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

55,438,024 27,719,012 13,859,506 6,929,753 20,789,260 10,394,630 5,197,315 15,591,946 7,795,973 23,387,920 11,693,960 5,846,980 2,923,490 1,461,745 4,385,236 2,192,618 1,096,309 3,288,928 1,644,464 822,232 411,116 205,558 102,779 308,338 154,169 462,508 231,254 115,627 346,882 173,441 520,324 260,162 130,081 390,244 195,122 97,561 292,684 146,342 73,171 219,514 109,757 329,272 164,636 82,318 41,159 123,478 61,739 185,218 92,609 277,828 138,914 69,457 208,372 104,186 52,093 156,280 78,140 39,070 19,535 58,606

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