λ
Harmonic Matrix

9,612,152

23 × 11 × 109229
Abundant Even Composite

9,612,152 has digital root 8. The neighboring primes are 9612143 and 9612179; its proper-divisor sum differs from the starting integer by 437,096.

Prime Factor Structure

Factorization String 2^3 × 11 × 109229
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,661,400
Proper Divisor Sum 10,049,248
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9612143 ← → #9612179

Radix Representation

Decimal 9612152
Binary 100100101010101101111000 (24 bits)
Octal 0o44525570
Hexadecimal 0x92AB78

Divisor Catalog (16)

1 2 4 8 11 22 44 88 109,229 218,458 436,916 873,832 1,201,519 2,403,038 4,806,076 9,612,152

Collatz Trajectory (207 steps to reach 1)

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

9,612,152 4,806,076 2,403,038 1,201,519 3,604,558 1,802,279 5,406,838 2,703,419 8,110,258 4,055,129 12,165,388 6,082,694 3,041,347 9,124,042 4,562,021 13,686,064 6,843,032 3,421,516 1,710,758 855,379 2,566,138 1,283,069 3,849,208 1,924,604 962,302 481,151 1,443,454 721,727 2,165,182 1,082,591 3,247,774 1,623,887 4,871,662 2,435,831 7,307,494 3,653,747 10,961,242 5,480,621 16,441,864 8,220,932 4,110,466 2,055,233 6,165,700 3,082,850 1,541,425 4,624,276 2,312,138 1,156,069 3,468,208 1,734,104 867,052 433,526 216,763 650,290 325,145 975,436 487,718 243,859 731,578 365,789

More profiles

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