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Atlas › Integer Profiles › Node 57,734,638

57,734,638

2 × 13 × 43 × 113 × 457
Deficient Even Composite

57,734,638 factors as 2 × 13 × 43 × 113 × 457. Its 32 positive divisors give a proper-divisor sum of 38,753,138, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 13 × 43 × 113 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 96,487,776
Proper Divisor Sum 38,753,138
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57734603 ← → #57734639

Radix Representation

Decimal 57734638
Binary 11011100001111010111101110 (26 bits)
Octal 0o334172756
Hexadecimal 0x370F5EE

Divisor Catalog (32)

1 2 13 26 43 86 113 226 457 559 914 1,118 1,469 2,938 4,859 5,941 9,718 11,882 19,651 39,302 51,641 63,167 103,282 126,334 255,463 510,926 671,333 1,342,666 2,220,563 4,441,126 28,867,319 57,734,638

Collatz Trajectory (238 steps to reach 1)

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

57,734,638 28,867,319 86,601,958 43,300,979 129,902,938 64,951,469 194,854,408 97,427,204 48,713,602 24,356,801 73,070,404 36,535,202 18,267,601 54,802,804 27,401,402 13,700,701 41,102,104 20,551,052 10,275,526 5,137,763 15,413,290 7,706,645 23,119,936 11,559,968 5,779,984 2,889,992 1,444,996 722,498 361,249 1,083,748 541,874 270,937 812,812 406,406 203,203 609,610 304,805 914,416 457,208 228,604 114,302 57,151 171,454 85,727 257,182 128,591 385,774 192,887 578,662 289,331 867,994 433,997 1,301,992 650,996 325,498 162,749 488,248 244,124 122,062 61,031

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