9,004,040

2³ × 5 × 23 × 9787

9,004,040 has digital root 8. The neighboring primes are 9004031 and 9004057; its proper-divisor sum differs from the starting integer by 3,134,000.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 9787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,142,080

Proper Divisor Sum 12,138,040

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #9004031 ← → #9004057

Radix Representation

Decimal	9004040
Binary	100010010110010000001000 (24 bits)
Octal	0o42262010
Hexadecimal	0x896408

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 9,787 19,574 39,148 48,935 78,296 97,870 195,740 225,101 391,480 450,202 900,404 1,125,505 1,800,808 2,251,010 4,502,020 9,004,040

Collatz Trajectory (88 steps to reach 1)

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

9,004,040 4,502,020 2,251,010 1,125,505 3,376,516 1,688,258 844,129 2,532,388 1,266,194 633,097 1,899,292 949,646 474,823 1,424,470 712,235 2,136,706 1,068,353 3,205,060 1,602,530 801,265 2,403,796 1,201,898 600,949 1,802,848 901,424 450,712 225,356 112,678 56,339 169,018 84,509 253,528 126,764 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588

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