λ
Harmonic Matrix

9,056,017

89 × 97 × 1049
Deficient Odd Composite

9,056,017 has digital root 1. The neighboring primes are 9055993 and 9056023; its proper-divisor sum differs from the starting integer by -8,851,034.

Prime Factor Structure

Factorization String 89 × 97 × 1049
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,261,000
Proper Divisor Sum 204,983
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9055993 ← → #9056023

Radix Representation

Decimal 9056017
Binary 100010100010111100010001 (24 bits)
Octal 0o42427421
Hexadecimal 0x8A2F11

Divisor Catalog (8)

1 89 97 1,049 8,633 93,361 101,753 9,056,017

Collatz Trajectory (256 steps to reach 1)

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

9,056,017 27,168,052 13,584,026 6,792,013 20,376,040 10,188,020 5,094,010 2,547,005 7,641,016 3,820,508 1,910,254 955,127 2,865,382 1,432,691 4,298,074 2,149,037 6,447,112 3,223,556 1,611,778 805,889 2,417,668 1,208,834 604,417 1,813,252 906,626 453,313 1,359,940 679,970 339,985 1,019,956 509,978 254,989 764,968 382,484 191,242 95,621 286,864 143,432 71,716 35,858 17,929 53,788 26,894 13,447 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575

More profiles

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