9,261,924

2² × 3 × 7 × 110261

For 9,261,924, the 24 positive divisors have a total of 24,698,688. Removing 9,261,924 leaves 15,436,764, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 110261

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 24,698,688

Proper Divisor Sum 15,436,764

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9261907 ← → #9261929

Radix Representation

Decimal	9261924
Binary	100011010101001101100100 (24 bits)
Octal	0o43251544
Hexadecimal	0x8D5364

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 110,261 220,522 330,783 441,044 661,566 771,827 1,323,132 1,543,654 2,315,481 3,087,308 4,630,962 9,261,924

Collatz Trajectory (75 steps to reach 1)

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

9,261,924 4,630,962 2,315,481 6,946,444 3,473,222 1,736,611 5,209,834 2,604,917 7,814,752 3,907,376 1,953,688 976,844 488,422 244,211 732,634 366,317 1,098,952 549,476 274,738 137,369 412,108 206,054 103,027 309,082 154,541 463,624 231,812 115,906 57,953 173,860 86,930 43,465 130,396 65,198 32,599 97,798 48,899 146,698 73,349 220,048 110,024 55,012 27,506 13,753 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272

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