λ
Harmonic Matrix

9,675,795

3 × 5 × 41 × 15733
Deficient Odd Composite

9,675,795 has digital root 3. The neighboring primes are 9675781 and 9675797; its proper-divisor sum differs from the starting integer by -3,491,718.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 15733
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,859,872
Proper Divisor Sum 6,184,077
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9675781 ← → #9675797

Radix Representation

Decimal 9675795
Binary 100100111010010000010011 (24 bits)
Octal 0o44722023
Hexadecimal 0x93A413

Divisor Catalog (16)

1 3 5 15 41 123 205 615 15,733 47,199 78,665 235,995 645,053 1,935,159 3,225,265 9,675,795

Collatz Trajectory (132 steps to reach 1)

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

9,675,795 29,027,386 14,513,693 43,541,080 21,770,540 10,885,270 5,442,635 16,327,906 8,163,953 24,491,860 12,245,930 6,122,965 18,368,896 9,184,448 4,592,224 2,296,112 1,148,056 574,028 287,014 143,507 430,522 215,261 645,784 322,892 161,446 80,723 242,170 121,085 363,256 181,628 90,814 45,407 136,222 68,111 204,334 102,167 306,502 153,251 459,754 229,877 689,632 344,816 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373

More profiles

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