λ
Harmonic Matrix

1,142,520

23 × 3 × 5 × 9521
Abundant Even Composite

1,142,520 has digital root 6. The neighboring primes are 1142509 and 1142539; its proper-divisor sum differs from the starting integer by 1,142,880.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 9521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,427,920
Proper Divisor Sum 2,285,400
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1142509 ← → #1142539

Radix Representation

Decimal 1142520
Binary 100010110111011111000 (21 bits)
Octal 0o4267370
Hexadecimal 0x116EF8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9,521 19,042 28,563 38,084 47,605 57,126 76,168 95,210 114,252 142,815 190,420 228,504 285,630 380,840 571,260 1,142,520

Collatz Trajectory (222 steps to reach 1)

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

1,142,520 571,260 285,630 142,815 428,446 214,223 642,670 321,335 964,006 482,003 1,446,010 723,005 2,169,016 1,084,508 542,254 271,127 813,382 406,691 1,220,074 610,037 1,830,112 915,056 457,528 228,764 114,382 57,191 171,574 85,787 257,362 128,681 386,044 193,022 96,511 289,534 144,767 434,302 217,151 651,454 325,727 977,182 488,591 1,465,774 732,887 2,198,662 1,099,331 3,297,994 1,648,997 4,946,992 2,473,496 1,236,748 618,374 309,187 927,562 463,781 1,391,344 695,672 347,836 173,918 86,959 260,878

More profiles

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