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Atlas › Integer Profiles › Node 57,746,282

57,746,282

2 × 112 × 192 × 661
Deficient Even Composite

57,746,282 factors as 2 × 11^2 × 19^2 × 661. Its 36 positive divisors give a proper-divisor sum of 42,890,296, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 19^2 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 100,636,578
Proper Divisor Sum 42,890,296
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57746281 ← → #57746333

Radix Representation

Decimal 57746282
Binary 11011100010010001101101010 (26 bits)
Octal 0o334221552
Hexadecimal 0x371236A

Divisor Catalog (36)

1 2 11 19 22 38 121 209 242 361 418 661 722 1,322 2,299 3,971 4,598 7,271 7,942 12,559 14,542 25,118 43,681 79,981 87,362 138,149 159,962 238,621 276,298 477,242 1,519,639 2,624,831 3,039,278 5,249,662 28,873,141 57,746,282

Collatz Trajectory (181 steps to reach 1)

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

57,746,282 28,873,141 86,619,424 43,309,712 21,654,856 10,827,428 5,413,714 2,706,857 8,120,572 4,060,286 2,030,143 6,090,430 3,045,215 9,135,646 4,567,823 13,703,470 6,851,735 20,555,206 10,277,603 30,832,810 15,416,405 46,249,216 23,124,608 11,562,304 5,781,152 2,890,576 1,445,288 722,644 361,322 180,661 541,984 270,992 135,496 67,748 33,874 16,937 50,812 25,406 12,703 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235 144,706 72,353 217,060 108,530 54,265 162,796 81,398 40,699 122,098 61,049

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