λ
Harmonic Matrix

9,625,284

22 × 33 × 89123
Abundant Even Composite

9,625,284 has digital root 9. The neighboring primes are 9625279 and 9625289; its proper-divisor sum differs from the starting integer by 5,704,152.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 89123
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,954,720
Proper Divisor Sum 15,329,436
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9625279 ← → #9625289

Radix Representation

Decimal 9625284
Binary 100100101101111011000100 (24 bits)
Octal 0o44557304
Hexadecimal 0x92DEC4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 89,123 178,246 267,369 356,492 534,738 802,107 1,069,476 1,604,214 2,406,321 3,208,428 4,812,642 9,625,284

Collatz Trajectory (93 steps to reach 1)

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

9,625,284 4,812,642 2,406,321 7,218,964 3,609,482 1,804,741 5,414,224 2,707,112 1,353,556 676,778 338,389 1,015,168 507,584 253,792 126,896 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186

More profiles

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