λ
Harmonic Matrix

745,921

11 × 19 × 43 × 83
Deficient Odd Composite

745,921 has digital root 1. The neighboring primes are 745903 and 745931; its proper-divisor sum differs from the starting integer by -604,802.

Prime Factor Structure

Factorization String 11 × 19 × 43 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 887,040
Proper Divisor Sum 141,119
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #745903 ← → #745931

Radix Representation

Decimal 745921
Binary 10110110000111000001 (20 bits)
Octal 0o2660701
Hexadecimal 0xB61C1

Divisor Catalog (16)

1 11 19 43 83 209 473 817 913 1,577 3,569 8,987 17,347 39,259 67,811 745,921

Collatz Trajectory (118 steps to reach 1)

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

745,921 2,237,764 1,118,882 559,441 1,678,324 839,162 419,581 1,258,744 629,372 314,686 157,343 472,030 236,015 708,046 354,023 1,062,070 531,035 1,593,106 796,553 2,389,660 1,194,830 597,415 1,792,246 896,123 2,688,370 1,344,185 4,032,556 2,016,278 1,008,139 3,024,418 1,512,209 4,536,628 2,268,314 1,134,157 3,402,472 1,701,236 850,618 425,309 1,275,928 637,964 318,982 159,491 478,474 239,237 717,712 358,856 179,428 89,714 44,857 134,572 67,286 33,643 100,930 50,465 151,396 75,698 37,849 113,548 56,774 28,387

More profiles

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