λ
Harmonic Matrix

9,652,716

22 × 33 × 139 × 643
Abundant Even Composite

9,652,716 has digital root 9. The neighboring primes are 9652693 and 9652723; its proper-divisor sum differs from the starting integer by 5,939,368.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 139 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,244,800
Proper Divisor Sum 15,592,084
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9652693 ← → #9652723

Radix Representation

Decimal 9652716
Binary 100100110100100111101100 (24 bits)
Octal 0o44644754
Hexadecimal 0x9349EC

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 643 834 1,251 1,286 1,668 1,929 2,502 2,572 3,753 3,858 5,004 5,787 7,506 7,716 11,574 15,012 17,361 23,148 34,722 69,444 89,377 178,754 268,131 357,508 536,262 804,393 1,072,524 1,608,786 2,413,179 3,217,572 4,826,358 9,652,716

Collatz Trajectory (145 steps to reach 1)

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

9,652,716 4,826,358 2,413,179 7,239,538 3,619,769 10,859,308 5,429,654 2,714,827 8,144,482 4,072,241 12,216,724 6,108,362 3,054,181 9,162,544 4,581,272 2,290,636 1,145,318 572,659 1,717,978 858,989 2,576,968 1,288,484 644,242 322,121 966,364 483,182 241,591 724,774 362,387 1,087,162 543,581 1,630,744 815,372 407,686 203,843 611,530 305,765 917,296 458,648 229,324 114,662 57,331 171,994 85,997 257,992 128,996 64,498 32,249 96,748 48,374 24,187 72,562 36,281 108,844 54,422 27,211 81,634 40,817 122,452 61,226

More profiles

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