λ
Harmonic Matrix

1,145,584

24 × 11 × 23 × 283
Abundant Even Composite

1,145,584 has digital root 1. The neighboring primes are 1145539 and 1145593; its proper-divisor sum differs from the starting integer by 244,384.

Prime Factor Structure

Factorization String 2^4 × 11 × 23 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,535,552
Proper Divisor Sum 1,389,968
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1145539 ← → #1145593

Radix Representation

Decimal 1145584
Binary 100010111101011110000 (21 bits)
Octal 0o4275360
Hexadecimal 0x117AF0

Divisor Catalog (40)

1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 283 368 506 566 1,012 1,132 2,024 2,264 3,113 4,048 4,528 6,226 6,509 12,452 13,018 24,904 26,036 49,808 52,072 71,599 104,144 143,198 286,396 572,792 1,145,584

Collatz Trajectory (103 steps to reach 1)

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

1,145,584 572,792 286,396 143,198 71,599 214,798 107,399 322,198 161,099 483,298 241,649 724,948 362,474 181,237 543,712 271,856 135,928 67,964 33,982 16,991 50,974 25,487 76,462 38,231 114,694 57,347 172,042 86,021 258,064 129,032 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

More profiles

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