λ
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Atlas › Integer Profiles › Node 57,796,875

57,796,875

33 × 56 × 137
Deficient Odd Composite

57,796,875 factors as 3^3 × 5^6 × 137. Its 56 positive divisors give a proper-divisor sum of 50,014,245, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3^3 × 5^6 × 137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 107,811,120
Proper Divisor Sum 50,014,245
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #57796873 ← → #57796883

Radix Representation

Decimal 57796875
Binary 11011100011110100100001011 (26 bits)
Octal 0o334364413
Hexadecimal 0x371E90B

Divisor Catalog (56)

1 3 5 9 15 25 27 45 75 125 135 137 225 375 411 625 675 685 1,125 1,233 1,875 2,055 3,125 3,375 3,425 3,699 5,625 6,165 9,375 10,275 15,625 16,875 17,125 18,495 28,125 30,825 46,875 51,375 84,375 85,625 92,475 140,625 154,125 256,875 421,875 428,125 462,375 770,625 1,284,375 2,140,625 2,311,875 3,853,125 6,421,875 11,559,375 19,265,625 57,796,875

Collatz Trajectory (145 steps to reach 1)

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

57,796,875 173,390,626 86,695,313 260,085,940 130,042,970 65,021,485 195,064,456 97,532,228 48,766,114 24,383,057 73,149,172 36,574,586 18,287,293 54,861,880 27,430,940 13,715,470 6,857,735 20,573,206 10,286,603 30,859,810 15,429,905 46,289,716 23,144,858 11,572,429 34,717,288 17,358,644 8,679,322 4,339,661 13,018,984 6,509,492 3,254,746 1,627,373 4,882,120 2,441,060 1,220,530 610,265 1,830,796 915,398 457,699 1,373,098 686,549 2,059,648 1,029,824 514,912 257,456 128,728 64,364 32,182 16,091 48,274 24,137 72,412 36,206 18,103 54,310 27,155 81,466 40,733 122,200 61,100

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