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Atlas › Integer Profiles › Node 57,733,504

57,733,504

27 × 367 × 1229
Deficient Even Composite

57,733,504 factors as 2^7 × 367 × 1229. Its 32 positive divisors give a proper-divisor sum of 57,689,696, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^7 × 367 × 1229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 115,423,200
Proper Divisor Sum 57,689,696
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #57733493 ← → #57733517

Radix Representation

Decimal 57733504
Binary 11011100001111000110000000 (26 bits)
Octal 0o334170600
Hexadecimal 0x370F180

Divisor Catalog (32)

1 2 4 8 16 32 64 128 367 734 1,229 1,468 2,458 2,936 4,916 5,872 9,832 11,744 19,664 23,488 39,328 46,976 78,656 157,312 451,043 902,086 1,804,172 3,608,344 7,216,688 14,433,376 28,866,752 57,733,504

Collatz Trajectory (119 steps to reach 1)

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

57,733,504 28,866,752 14,433,376 7,216,688 3,608,344 1,804,172 902,086 451,043 1,353,130 676,565 2,029,696 1,014,848 507,424 253,712 126,856 63,428 31,714 15,857 47,572 23,786 11,893 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192

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