λ
Harmonic Matrix

8,956,120

23 × 5 × 223903
Abundant Even Composite

8,956,120 has digital root 4. The neighboring primes are 8956097 and 8956121; its proper-divisor sum differs from the starting integer by 2,239,120.

Prime Factor Structure

Factorization String 2^3 × 5 × 223903
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,151,360
Proper Divisor Sum 11,195,240
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8956097 ← → #8956121

Radix Representation

Decimal 8956120
Binary 100010001010100011011000 (24 bits)
Octal 0o42124330
Hexadecimal 0x88A8D8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 223,903 447,806 895,612 1,119,515 1,791,224 2,239,030 4,478,060 8,956,120

Collatz Trajectory (168 steps to reach 1)

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

8,956,120 4,478,060 2,239,030 1,119,515 3,358,546 1,679,273 5,037,820 2,518,910 1,259,455 3,778,366 1,889,183 5,667,550 2,833,775 8,501,326 4,250,663 12,751,990 6,375,995 19,127,986 9,563,993 28,691,980 14,345,990 7,172,995 21,518,986 10,759,493 32,278,480 16,139,240 8,069,620 4,034,810 2,017,405 6,052,216 3,026,108 1,513,054 756,527 2,269,582 1,134,791 3,404,374 1,702,187 5,106,562 2,553,281 7,659,844 3,829,922 1,914,961 5,744,884 2,872,442 1,436,221 4,308,664 2,154,332 1,077,166 538,583 1,615,750 807,875 2,423,626 1,211,813 3,635,440 1,817,720 908,860 454,430 227,215 681,646 340,823

More profiles

← Previous Integer #8,956,119 Browse Full Index Next Integer #8,956,121 →