λ
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Atlas › Integer Profiles › Node 25,757,613

25,757,613

32 × 7 × 131 × 3121
Deficient Odd Composite

25,757,613 factors as 3^2 × 7 × 131 × 3121. Its 24 positive divisors give a proper-divisor sum of 17,101,203, so this integer is deficient. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 131 × 3121
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 42,858,816
Proper Divisor Sum 17,101,203
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #25757591 ← → #25757617

Radix Representation

Decimal 25757613
Binary 1100010010000011110101101 (25 bits)
Octal 0o142203655
Hexadecimal 0x18907AD

Divisor Catalog (24)

1 3 7 9 21 63 131 393 917 1,179 2,751 3,121 8,253 9,363 21,847 28,089 65,541 196,623 408,851 1,226,553 2,861,957 3,679,659 8,585,871 25,757,613

Collatz Trajectory (242 steps to reach 1)

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

25,757,613 77,272,840 38,636,420 19,318,210 9,659,105 28,977,316 14,488,658 7,244,329 21,732,988 10,866,494 5,433,247 16,299,742 8,149,871 24,449,614 12,224,807 36,674,422 18,337,211 55,011,634 27,505,817 82,517,452 41,258,726 20,629,363 61,888,090 30,944,045 92,832,136 46,416,068 23,208,034 11,604,017 34,812,052 17,406,026 8,703,013 26,109,040 13,054,520 6,527,260 3,263,630 1,631,815 4,895,446 2,447,723 7,343,170 3,671,585 11,014,756 5,507,378 2,753,689 8,261,068 4,130,534 2,065,267 6,195,802 3,097,901 9,293,704 4,646,852 2,323,426 1,161,713 3,485,140 1,742,570 871,285 2,613,856 1,306,928 653,464 326,732 163,366

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