9,015,240

2³ × 3 × 5 × 13 × 5779

For 9,015,240, the 64 positive divisors have a total of 29,131,200. Removing 9,015,240 leaves 20,115,960, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 5779

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 29,131,200

Proper Divisor Sum 20,115,960

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #9015233 ← → #9015257

Radix Representation

Decimal	9015240
Binary	100010011000111111001000 (24 bits)
Octal	0o42307710
Hexadecimal	0x898FC8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1,560 5,779 11,558 17,337 23,116 28,895 34,674 46,232 57,790 69,348 75,127 86,685 115,580 138,696 150,254 173,370 225,381 231,160 300,508 346,740 375,635 450,762 601,016 693,480 751,270 901,524 1,126,905 1,502,540 1,803,048

Collatz Trajectory (88 steps to reach 1)

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

9,015,240 4,507,620 2,253,810 1,126,905 3,380,716 1,690,358 845,179 2,535,538 1,267,769 3,803,308 1,901,654 950,827 2,852,482 1,426,241 4,278,724 2,139,362 1,069,681 3,209,044 1,604,522 802,261 2,406,784 1,203,392 601,696 300,848 150,424 75,212 37,606 18,803 56,410 28,205 84,616 42,308 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589

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