λ
Harmonic Matrix

9,613,518

2 × 3 × 139 × 11527
Abundant Even Composite

9,613,518 has digital root 6. The neighboring primes are 9613507 and 9613531; its proper-divisor sum differs from the starting integer by 140,004.

Prime Factor Structure

Factorization String 2 × 3 × 139 × 11527
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,367,040
Proper Divisor Sum 9,753,522
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9613507 ← → #9613531

Radix Representation

Decimal 9613518
Binary 100100101011000011001110 (24 bits)
Octal 0o44530316
Hexadecimal 0x92B0CE

Divisor Catalog (16)

1 2 3 6 139 278 417 834 11,527 23,054 34,581 69,162 1,602,253 3,204,506 4,806,759 9,613,518

Collatz Trajectory (194 steps to reach 1)

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

9,613,518 4,806,759 14,420,278 7,210,139 21,630,418 10,815,209 32,445,628 16,222,814 8,111,407 24,334,222 12,167,111 36,501,334 18,250,667 54,752,002 27,376,001 82,128,004 41,064,002 20,532,001 61,596,004 30,798,002 15,399,001 46,197,004 23,098,502 11,549,251 34,647,754 17,323,877 51,971,632 25,985,816 12,992,908 6,496,454 3,248,227 9,744,682 4,872,341 14,617,024 7,308,512 3,654,256 1,827,128 913,564 456,782 228,391 685,174 342,587 1,027,762 513,881 1,541,644 770,822 385,411 1,156,234 578,117 1,734,352 867,176 433,588 216,794 108,397 325,192 162,596 81,298 40,649 121,948 60,974

More profiles

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