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Atlas › Integer Profiles › Node 57,799,404

57,799,404

22 × 32 × 13 × 123503
Abundant Even Composite

57,799,404 factors as 2^2 × 3^2 × 13 × 123503. Its 36 positive divisors give a proper-divisor sum of 99,544,692, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 123503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 157,344,096
Proper Divisor Sum 99,544,692
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57799403 ← → #57799433

Radix Representation

Decimal 57799404
Binary 11011100011111001011101100 (26 bits)
Octal 0o334371354
Hexadecimal 0x371F2EC

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 123,503 247,006 370,509 494,012 741,018 1,111,527 1,482,036 1,605,539 2,223,054 3,211,078 4,446,108 4,816,617 6,422,156 9,633,234 14,449,851 19,266,468 28,899,702 57,799,404

Collatz Trajectory (101 steps to reach 1)

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

57,799,404 28,899,702 14,449,851 43,349,554 21,674,777 65,024,332 32,512,166 16,256,083 48,768,250 24,384,125 73,152,376 36,576,188 18,288,094 9,144,047 27,432,142 13,716,071 41,148,214 20,574,107 61,722,322 30,861,161 92,583,484 46,291,742 23,145,871 69,437,614 34,718,807 104,156,422 52,078,211 156,234,634 78,117,317 234,351,952 117,175,976 58,587,988 29,293,994 14,646,997 43,940,992 21,970,496 10,985,248 5,492,624 2,746,312 1,373,156 686,578 343,289 1,029,868 514,934 257,467 772,402 386,201 1,158,604 579,302 289,651 868,954 434,477 1,303,432 651,716 325,858 162,929 488,788 244,394 122,197 366,592

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