λ
Harmonic Matrix

9,517,604

22 × 79 × 30119
Deficient Even Composite

9,517,604 has digital root 5. The neighboring primes are 9517601 and 9517631; its proper-divisor sum differs from the starting integer by -2,168,008.

Prime Factor Structure

Factorization String 2^2 × 79 × 30119
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,867,200
Proper Divisor Sum 7,349,596
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9517601 ← → #9517631

Radix Representation

Decimal 9517604
Binary 100100010011101000100100 (24 bits)
Octal 0o44235044
Hexadecimal 0x913A24

Divisor Catalog (12)

1 2 4 79 158 316 30,119 60,238 120,476 2,379,401 4,758,802 9,517,604

Collatz Trajectory (132 steps to reach 1)

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

9,517,604 4,758,802 2,379,401 7,138,204 3,569,102 1,784,551 5,353,654 2,676,827 8,030,482 4,015,241 12,045,724 6,022,862 3,011,431 9,034,294 4,517,147 13,551,442 6,775,721 20,327,164 10,163,582 5,081,791 15,245,374 7,622,687 22,868,062 11,434,031 34,302,094 17,151,047 51,453,142 25,726,571 77,179,714 38,589,857 115,769,572 57,884,786 28,942,393 86,827,180 43,413,590 21,706,795 65,120,386 32,560,193 97,680,580 48,840,290 24,420,145 73,260,436 36,630,218 18,315,109 54,945,328 27,472,664 13,736,332 6,868,166 3,434,083 10,302,250 5,151,125 15,453,376 7,726,688 3,863,344 1,931,672 965,836 482,918 241,459 724,378 362,189

More profiles

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