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Atlas › Integer Profiles › Node 18,878,265

18,878,265

34 × 5 × 7 × 6659
Abundant Odd Composite

18,878,265 factors as 3^4 × 5 × 7 × 6659. Its 40 positive divisors give a proper-divisor sum of 19,803,015, so this integer is abundant. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 6659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 38,681,280
Proper Divisor Sum 19,803,015
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #18878263 ← → #18878291

Radix Representation

Decimal 18878265
Binary 1001000000000111100111001 (25 bits)
Octal 0o110007471
Hexadecimal 0x1200F39

Divisor Catalog (40)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2,835 6,659 19,977 33,295 46,613 59,931 99,885 139,839 179,793 233,065 299,655 419,517 539,379 699,195 898,965 1,258,551 2,097,585 2,696,895 3,775,653 6,292,755 18,878,265

Collatz Trajectory (226 steps to reach 1)

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

18,878,265 56,634,796 28,317,398 14,158,699 42,476,098 21,238,049 63,714,148 31,857,074 15,928,537 47,785,612 23,892,806 11,946,403 35,839,210 17,919,605 53,758,816 26,879,408 13,439,704 6,719,852 3,359,926 1,679,963 5,039,890 2,519,945 7,559,836 3,779,918 1,889,959 5,669,878 2,834,939 8,504,818 4,252,409 12,757,228 6,378,614 3,189,307 9,567,922 4,783,961 14,351,884 7,175,942 3,587,971 10,763,914 5,381,957 16,145,872 8,072,936 4,036,468 2,018,234 1,009,117 3,027,352 1,513,676 756,838 378,419 1,135,258 567,629 1,702,888 851,444 425,722 212,861 638,584 319,292 159,646 79,823 239,470 119,735

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