λ
Harmonic Matrix

9,718,930

2 × 5 × 13 × 74761
Deficient Even Composite

9,718,930 has digital root 1. The neighboring primes are 9718913 and 9718931; its proper-divisor sum differs from the starting integer by -597,836.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 74761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,840,024
Proper Divisor Sum 9,121,094
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9718913 ← → #9718931

Radix Representation

Decimal 9718930
Binary 100101000100110010010010 (24 bits)
Octal 0o45046222
Hexadecimal 0x944C92

Divisor Catalog (16)

1 2 5 10 13 26 65 130 74,761 149,522 373,805 747,610 971,893 1,943,786 4,859,465 9,718,930

Collatz Trajectory (225 steps to reach 1)

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

9,718,930 4,859,465 14,578,396 7,289,198 3,644,599 10,933,798 5,466,899 16,400,698 8,200,349 24,601,048 12,300,524 6,150,262 3,075,131 9,225,394 4,612,697 13,838,092 6,919,046 3,459,523 10,378,570 5,189,285 15,567,856 7,783,928 3,891,964 1,945,982 972,991 2,918,974 1,459,487 4,378,462 2,189,231 6,567,694 3,283,847 9,851,542 4,925,771 14,777,314 7,388,657 22,165,972 11,082,986 5,541,493 16,624,480 8,312,240 4,156,120 2,078,060 1,039,030 519,515 1,558,546 779,273 2,337,820 1,168,910 584,455 1,753,366 876,683 2,630,050 1,315,025 3,945,076 1,972,538 986,269 2,958,808 1,479,404 739,702 369,851

More profiles

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