λ
Harmonic Matrix

9,071,364

22 × 3 × 37 × 20431
Abundant Even Composite

9,071,364 has digital root 3. The neighboring primes are 9071351 and 9071369; its proper-divisor sum differs from the starting integer by 3,596,920.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 20431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,739,648
Proper Divisor Sum 12,668,284
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9071351 ← → #9071369

Radix Representation

Decimal 9071364
Binary 100010100110101100000100 (24 bits)
Octal 0o42465404
Hexadecimal 0x8A6B04

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 20,431 40,862 61,293 81,724 122,586 245,172 755,947 1,511,894 2,267,841 3,023,788 4,535,682 9,071,364

Collatz Trajectory (88 steps to reach 1)

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

9,071,364 4,535,682 2,267,841 6,803,524 3,401,762 1,700,881 5,102,644 2,551,322 1,275,661 3,826,984 1,913,492 956,746 478,373 1,435,120 717,560 358,780 179,390 89,695 269,086 134,543 403,630 201,815 605,446 302,723 908,170 454,085 1,362,256 681,128 340,564 170,282 85,141 255,424 127,712 63,856 31,928 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269

More profiles

← Previous Integer #9,071,363 Browse Full Index Next Integer #9,071,365 →