1,162,972

2² × 23 × 12641

1,162,972 factors as 2^2 × 23 × 12641. Its 12 positive divisors give a proper-divisor sum of 960,884, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 12641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,123,856

Proper Divisor Sum 960,884

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1162969 ← → #1162981

Radix Representation

Decimal	1162972
Binary	100011011111011011100 (21 bits)
Octal	0o4337334
Hexadecimal	0x11BEDC

Divisor Catalog (12)

1 2 4 23 46 92 12,641 25,282 50,564 290,743 581,486 1,162,972

Collatz Trajectory (191 steps to reach 1)

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

1,162,972 581,486 290,743 872,230 436,115 1,308,346 654,173 1,962,520 981,260 490,630 245,315 735,946 367,973 1,103,920 551,960 275,980 137,990 68,995 206,986 103,493 310,480 155,240 77,620 38,810 19,405 58,216 29,108 14,554 7,277 21,832 10,916 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720

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