λ
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Atlas › Integer Profiles › Node 57,775,840

57,775,840

25 × 5 × 263 × 1373
Abundant Even Composite

57,775,840 factors as 2^5 × 5 × 263 × 1373. Its 48 positive divisors give a proper-divisor sum of 79,338,368, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 263 × 1373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 137,114,208
Proper Divisor Sum 79,338,368
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57775799 ← → #57775841

Radix Representation

Decimal 57775840
Binary 11011100011001011011100000 (26 bits)
Octal 0o334313340
Hexadecimal 0x37196E0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 160 263 526 1,052 1,315 1,373 2,104 2,630 2,746 4,208 5,260 5,492 6,865 8,416 10,520 10,984 13,730 21,040 21,968 27,460 42,080 43,936 54,920 109,840 219,680 361,099 722,198 1,444,396 1,805,495 2,888,792 3,610,990 5,777,584 7,221,980 11,555,168 14,443,960 28,887,920 57,775,840

Collatz Trajectory (93 steps to reach 1)

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

57,775,840 28,887,920 14,443,960 7,221,980 3,610,990 1,805,495 5,416,486 2,708,243 8,124,730 4,062,365 12,187,096 6,093,548 3,046,774 1,523,387 4,570,162 2,285,081 6,855,244 3,427,622 1,713,811 5,141,434 2,570,717 7,712,152 3,856,076 1,928,038 964,019 2,892,058 1,446,029 4,338,088 2,169,044 1,084,522 542,261 1,626,784 813,392 406,696 203,348 101,674 50,837 152,512 76,256 38,128 19,064 9,532 4,766 2,383 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186

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