9,731,484

2² × 3² × 7 × 23² × 73

9,731,484 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 7 × 23^2 × 73 and its 108 divisors sum to 29,791,216.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 23^2 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 29,791,216

Proper Divisor Sum 20,059,732

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9731471 ← → #9731509

Radix Representation

Decimal	9731484
Binary	100101000111110110011100 (24 bits)
Octal	0o45076634
Hexadecimal	0x947D9C

Divisor Catalog (60 of 108)

1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 73 84 92 126 138 146 161 207 219 252 276 292 322 414 438 483 511 529 644 657 828 876 966 1,022 1,058 1,314 1,449 1,533 1,587 1,679 1,932 2,044 2,116 2,628 2,898 3,066 3,174 3,358 3,703 4,599 4,761 5,037

Collatz Trajectory (199 steps to reach 1)

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

9,731,484 4,865,742 2,432,871 7,298,614 3,649,307 10,947,922 5,473,961 16,421,884 8,210,942 4,105,471 12,316,414 6,158,207 18,474,622 9,237,311 27,711,934 13,855,967 41,567,902 20,783,951 62,351,854 31,175,927 93,527,782 46,763,891 140,291,674 70,145,837 210,437,512 105,218,756 52,609,378 26,304,689 78,914,068 39,457,034 19,728,517 59,185,552 29,592,776 14,796,388 7,398,194 3,699,097 11,097,292 5,548,646 2,774,323 8,322,970 4,161,485 12,484,456 6,242,228 3,121,114 1,560,557 4,681,672 2,340,836 1,170,418 585,209 1,755,628 877,814 438,907 1,316,722 658,361 1,975,084 987,542 493,771 1,481,314 740,657 2,221,972

← Previous Integer #9,731,483 Browse Full Index Next Integer #9,731,485 →