1,025,829

3² × 7 × 19 × 857

1,025,829 factors as 3^2 × 7 × 19 × 857. Its 24 positive divisors give a proper-divisor sum of 758,811, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 19 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,784,640

Proper Divisor Sum 758,811

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1025819 ← → #1025839

Radix Representation

Decimal	1025829
Binary	11111010011100100101 (20 bits)
Octal	0o3723445
Hexadecimal	0xFA725

Divisor Catalog (24)

Collatz Trajectory (90 steps to reach 1)

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

1,025,829 3,077,488 1,538,744 769,372 384,686 192,343 577,030 288,515 865,546 432,773 1,298,320 649,160 324,580 162,290 81,145 243,436 121,718 60,859 182,578 91,289 273,868 136,934 68,467 205,402 102,701 308,104 154,052 77,026 38,513 115,540 57,770 28,885 86,656 43,328 21,664 10,832 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

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