1,184,679

3³ × 17 × 29 × 89

1,184,679 factors as 3^3 × 17 × 29 × 89. Its 32 positive divisors give a proper-divisor sum of 759,321, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 3^3 × 17 × 29 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,944,000

Proper Divisor Sum 759,321

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1184671 ← → #1184683

Radix Representation

Decimal	1184679
Binary	100100001001110100111 (21 bits)
Octal	0o4411647
Hexadecimal	0x1213A7

Divisor Catalog (32)

1 3 9 17 27 29 51 87 89 153 261 267 459 493 783 801 1,479 1,513 2,403 2,581 4,437 4,539 7,743 13,311 13,617 23,229 40,851 43,877 69,687 131,631 394,893 1,184,679

Collatz Trajectory (147 steps to reach 1)

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

1,184,679 3,554,038 1,777,019 5,331,058 2,665,529 7,996,588 3,998,294 1,999,147 5,997,442 2,998,721 8,996,164 4,498,082 2,249,041 6,747,124 3,373,562 1,686,781 5,060,344 2,530,172 1,265,086 632,543 1,897,630 948,815 2,846,446 1,423,223 4,269,670 2,134,835 6,404,506 3,202,253 9,606,760 4,803,380 2,401,690 1,200,845 3,602,536 1,801,268 900,634 450,317 1,350,952 675,476 337,738 168,869 506,608 253,304 126,652 63,326 31,663 94,990 47,495 142,486 71,243 213,730 106,865 320,596 160,298 80,149 240,448 120,224 60,112 30,056 15,028 7,514

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