1,018,992

2⁴ × 3 × 13 × 23 × 71

1,018,992 factors as 2^4 × 3 × 13 × 23 × 71. Its 80 positive divisors give a proper-divisor sum of 1,980,816, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 23 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 2,999,808

Proper Divisor Sum 1,980,816

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1018987 ← → #1018993

Radix Representation

Decimal	1018992
Binary	11111000110001110000 (20 bits)
Octal	0o3706160
Hexadecimal	0xF8C70

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 71 78 92 104 138 142 156 184 208 213 276 284 299 312 368 426 552 568 598 624 852 897 923 1,104 1,136 1,196 1,633 1,704 1,794 1,846 2,392 2,769 3,266 3,408 3,588 3,692 4,784 4,899 5,538 6,532 7,176 7,384 9,798

Collatz Trajectory (108 steps to reach 1)

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

1,018,992 509,496 254,748 127,374 63,687 191,062 95,531 286,594 143,297 429,892 214,946 107,473 322,420 161,210 80,605 241,816 120,908 60,454 30,227 90,682 45,341 136,024 68,012 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470

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