λ
Harmonic Matrix

9,112,374

2 × 32 × 17 × 97 × 307
Abundant Even Composite

9,112,374 has digital root 9. The neighboring primes are 9112361 and 9112387; its proper-divisor sum differs from the starting integer by 2,964,420.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 97 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,189,168
Proper Divisor Sum 12,076,794
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9112361 ← → #9112387

Radix Representation

Decimal 9112374
Binary 100010110000101100110110 (24 bits)
Octal 0o42605466
Hexadecimal 0x8B0B36

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 97 102 153 194 291 306 307 582 614 873 921 1,649 1,746 1,842 2,763 3,298 4,947 5,219 5,526 9,894 10,438 14,841 15,657 29,682 29,779 31,314 46,971 59,558 89,337 93,942 178,674 268,011 506,243 536,022 1,012,486 1,518,729 3,037,458 4,556,187 9,112,374

Collatz Trajectory (119 steps to reach 1)

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

9,112,374 4,556,187 13,668,562 6,834,281 20,502,844 10,251,422 5,125,711 15,377,134 7,688,567 23,065,702 11,532,851 34,598,554 17,299,277 51,897,832 25,948,916 12,974,458 6,487,229 19,461,688 9,730,844 4,865,422 2,432,711 7,298,134 3,649,067 10,947,202 5,473,601 16,420,804 8,210,402 4,105,201 12,315,604 6,157,802 3,078,901 9,236,704 4,618,352 2,309,176 1,154,588 577,294 288,647 865,942 432,971 1,298,914 649,457 1,948,372 974,186 487,093 1,461,280 730,640 365,320 182,660 91,330 45,665 136,996 68,498 34,249 102,748 51,374 25,687 77,062 38,531 115,594 57,797

More profiles

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