λ
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Atlas › Integer Profiles › Node 40,865,188

40,865,188

22 × 7 × 13 × 131 × 857
Abundant Even Composite

40,865,188 factors as 2^2 × 7 × 13 × 131 × 857. Its 48 positive divisors give a proper-divisor sum of 47,927,516, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 131 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 88,792,704
Proper Divisor Sum 47,927,516
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #40865183 ← → #40865189

Radix Representation

Decimal 40865188
Binary 10011011111000110110100100 (26 bits)
Octal 0o233706644
Hexadecimal 0x26F8DA4

Divisor Catalog (48)

1 2 4 7 13 14 26 28 52 91 131 182 262 364 524 857 917 1,703 1,714 1,834 3,406 3,428 3,668 5,999 6,812 11,141 11,921 11,998 22,282 23,842 23,996 44,564 47,684 77,987 112,267 155,974 224,534 311,948 449,068 785,869 1,459,471 1,571,738 2,918,942 3,143,476 5,837,884 10,216,297 20,432,594 40,865,188

Collatz Trajectory (214 steps to reach 1)

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

40,865,188 20,432,594 10,216,297 30,648,892 15,324,446 7,662,223 22,986,670 11,493,335 34,480,006 17,240,003 51,720,010 25,860,005 77,580,016 38,790,008 19,395,004 9,697,502 4,848,751 14,546,254 7,273,127 21,819,382 10,909,691 32,729,074 16,364,537 49,093,612 24,546,806 12,273,403 36,820,210 18,410,105 55,230,316 27,615,158 13,807,579 41,422,738 20,711,369 62,134,108 31,067,054 15,533,527 46,600,582 23,300,291 69,900,874 34,950,437 104,851,312 52,425,656 26,212,828 13,106,414 6,553,207 19,659,622 9,829,811 29,489,434 14,744,717 44,234,152 22,117,076 11,058,538 5,529,269 16,587,808 8,293,904 4,146,952 2,073,476 1,036,738 518,369 1,555,108

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