λ
Harmonic Matrix

1,115,064

23 × 32 × 17 × 911
Abundant Even Composite

1,115,064 has digital root 9. The neighboring primes are 1115057 and 1115071; its proper-divisor sum differs from the starting integer by 970,992.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,201,120
Proper Divisor Sum 2,086,056
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1115057 ← → #1115071

Radix Representation

Decimal 1115064
Binary 100010000001110111000 (21 bits)
Octal 0o4201670
Hexadecimal 0x1103B8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 911 1,224 1,822 2,733 3,644 5,466 7,288 8,199 10,932 15,487 16,398 21,864 30,974 32,796 46,461 61,948 65,592 92,922 123,896 139,383 185,844 278,766 371,688 557,532 1,115,064

Collatz Trajectory (178 steps to reach 1)

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

1,115,064 557,532 278,766 139,383 418,150 209,075 627,226 313,613 940,840 470,420 235,210 117,605 352,816 176,408 88,204 44,102 22,051 66,154 33,077 99,232 49,616 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108

More profiles

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