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Atlas › Integer Profiles › Node 1,027,485

1,027,485

34 × 5 × 43 × 59
Deficient Odd Composite

1,027,485 factors as 3^4 × 5 × 43 × 59. Its 40 positive divisors give a proper-divisor sum of 889,155, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 43 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,916,640
Proper Divisor Sum 889,155
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1027483 ← → #1027487

Radix Representation

Decimal 1027485
Binary 11111010110110011101 (20 bits)
Octal 0o3726635
Hexadecimal 0xFAD9D

Divisor Catalog (40)

1 3 5 9 15 27 43 45 59 81 129 135 177 215 295 387 405 531 645 885 1,161 1,593 1,935 2,537 2,655 3,483 4,779 5,805 7,611 7,965 12,685 17,415 22,833 23,895 38,055 68,499 114,165 205,497 342,495 1,027,485

Collatz Trajectory (103 steps to reach 1)

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

1,027,485 3,082,456 1,541,228 770,614 385,307 1,155,922 577,961 1,733,884 866,942 433,471 1,300,414 650,207 1,950,622 975,311 2,925,934 1,462,967 4,388,902 2,194,451 6,583,354 3,291,677 9,875,032 4,937,516 2,468,758 1,234,379 3,703,138 1,851,569 5,554,708 2,777,354 1,388,677 4,166,032 2,083,016 1,041,508 520,754 260,377 781,132 390,566 195,283 585,850 292,925 878,776 439,388 219,694 109,847 329,542 164,771 494,314 247,157 741,472 370,736 185,368 92,684 46,342 23,171 69,514 34,757 104,272 52,136 26,068 13,034 6,517

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