9,824,985

3² × 5 × 31 × 7043

Starting at 9,824,985, the Collatz iteration reaches 1 after 132 steps. The first transition is 29474956; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 31 × 7043

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,581,824

Proper Divisor Sum 7,756,839

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9824951 ← → #9824987

Radix Representation

Decimal	9824985
Binary	100101011110101011011001 (24 bits)
Octal	0o45365331
Hexadecimal	0x95EAD9

Divisor Catalog (24)

1 3 5 9 15 31 45 93 155 279 465 1,395 7,043 21,129 35,215 63,387 105,645 218,333 316,935 654,999 1,091,665 1,964,997 3,274,995 9,824,985

Collatz Trajectory (132 steps to reach 1)

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

9,824,985 29,474,956 14,737,478 7,368,739 22,106,218 11,053,109 33,159,328 16,579,664 8,289,832 4,144,916 2,072,458 1,036,229 3,108,688 1,554,344 777,172 388,586 194,293 582,880 291,440 145,720 72,860 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329

← Previous Integer #9,824,984 Browse Full Index Next Integer #9,824,986 →