λ
Harmonic Matrix

9,719,442

2 × 32 × 719 × 751
Abundant Even Composite

9,719,442 has digital root 9. The neighboring primes are 9719441 and 9719453; its proper-divisor sum differs from the starting integer by 1,677,276.

Prime Factor Structure

Factorization String 2 × 3^2 × 719 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,116,160
Proper Divisor Sum 11,396,718
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9719441 ← → #9719453

Radix Representation

Decimal 9719442
Binary 100101000100111010010010 (24 bits)
Octal 0o45047222
Hexadecimal 0x944E92

Divisor Catalog (24)

1 2 3 6 9 18 719 751 1,438 1,502 2,157 2,253 4,314 4,506 6,471 6,759 12,942 13,518 539,969 1,079,938 1,619,907 3,239,814 4,859,721 9,719,442

Collatz Trajectory (269 steps to reach 1)

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

9,719,442 4,859,721 14,579,164 7,289,582 3,644,791 10,934,374 5,467,187 16,401,562 8,200,781 24,602,344 12,301,172 6,150,586 3,075,293 9,225,880 4,612,940 2,306,470 1,153,235 3,459,706 1,729,853 5,189,560 2,594,780 1,297,390 648,695 1,946,086 973,043 2,919,130 1,459,565 4,378,696 2,189,348 1,094,674 547,337 1,642,012 821,006 410,503 1,231,510 615,755 1,847,266 923,633 2,770,900 1,385,450 692,725 2,078,176 1,039,088 519,544 259,772 129,886 64,943 194,830 97,415 292,246 146,123 438,370 219,185 657,556 328,778 164,389 493,168 246,584 123,292 61,646

More profiles

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