λ
Harmonic Matrix

9,412,371

32 × 1045819
Deficient Odd Composite

9,412,371 has digital root 9. The neighboring primes are 9412369 and 9412379; its proper-divisor sum differs from the starting integer by -5,229,082.

Prime Factor Structure

Factorization String 3^2 × 1045819
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 13,595,660
Proper Divisor Sum 4,183,289
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9412369 ← → #9412379

Radix Representation

Decimal 9412371
Binary 100011111001111100010011 (24 bits)
Octal 0o43717423
Hexadecimal 0x8F9F13

Divisor Catalog (6)

1 3 9 1,045,819 3,137,457 9,412,371

Collatz Trajectory (132 steps to reach 1)

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

9,412,371 28,237,114 14,118,557 42,355,672 21,177,836 10,588,918 5,294,459 15,883,378 7,941,689 23,825,068 11,912,534 5,956,267 17,868,802 8,934,401 26,803,204 13,401,602 6,700,801 20,102,404 10,051,202 5,025,601 15,076,804 7,538,402 3,769,201 11,307,604 5,653,802 2,826,901 8,480,704 4,240,352 2,120,176 1,060,088 530,044 265,022 132,511 397,534 198,767 596,302 298,151 894,454 447,227 1,341,682 670,841 2,012,524 1,006,262 503,131 1,509,394 754,697 2,264,092 1,132,046 566,023 1,698,070 849,035 2,547,106 1,273,553 3,820,660 1,910,330 955,165 2,865,496 1,432,748 716,374 358,187

More profiles

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