1,031,972

2² × 257993

1,031,972 factors as 2^2 × 257993. Its 6 positive divisors give a proper-divisor sum of 773,986, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 257993

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,805,958

Proper Divisor Sum 773,986

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1031923 ← → #1031981

Radix Representation

Decimal	1031972
Binary	11111011111100100100 (20 bits)
Octal	0o3737444
Hexadecimal	0xFBF24

Divisor Catalog (6)

1 2 4 257,993 515,986 1,031,972

Collatz Trajectory (90 steps to reach 1)

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

1,031,972 515,986 257,993 773,980 386,990 193,495 580,486 290,243 870,730 435,365 1,306,096 653,048 326,524 163,262 81,631 244,894 122,447 367,342 183,671 551,014 275,507 826,522 413,261 1,239,784 619,892 309,946 154,973 464,920 232,460 116,230 58,115 174,346 87,173 261,520 130,760 65,380 32,690 16,345 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

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