5,829,309

3² × 787 × 823

5,829,309 factors as 3^2 × 787 × 823. Its 12 positive divisors give a proper-divisor sum of 2,611,747, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3^2 × 787 × 823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,441,056

Proper Divisor Sum 2,611,747

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5829301 ← → #5829323

Radix Representation

Decimal	5829309
Binary	10110001111001010111101 (23 bits)
Octal	0o26171275
Hexadecimal	0x58F2BD

Divisor Catalog (12)

1 3 9 787 823 2,361 2,469 7,083 7,407 647,701 1,943,103 5,829,309

Collatz Trajectory (152 steps to reach 1)

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

5,829,309 17,487,928 8,743,964 4,371,982 2,185,991 6,557,974 3,278,987 9,836,962 4,918,481 14,755,444 7,377,722 3,688,861 11,066,584 5,533,292 2,766,646 1,383,323 4,149,970 2,074,985 6,224,956 3,112,478 1,556,239 4,668,718 2,334,359 7,003,078 3,501,539 10,504,618 5,252,309 15,756,928 7,878,464 3,939,232 1,969,616 984,808 492,404 246,202 123,101 369,304 184,652 92,326 46,163 138,490 69,245 207,736 103,868 51,934 25,967 77,902 38,951 116,854 58,427 175,282 87,641 262,924 131,462 65,731 197,194 98,597 295,792 147,896 73,948 36,974

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