λ
Harmonic Matrix

1,539,496

23 × 7 × 37 × 743
Abundant Even Composite

1,539,496 has digital root 1. The neighboring primes are 1539479 and 1539521; its proper-divisor sum differs from the starting integer by 313,648.

Prime Factor Structure

Factorization String 2^3 × 7 × 37 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,392,640
Proper Divisor Sum 1,853,144
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1539479 ← → #1539521

Radix Representation

Decimal 1539496
Binary 101110111110110101000 (21 bits)
Octal 0o5676650
Hexadecimal 0x177DA8

Divisor Catalog (32)

1 2 4 7 8 14 28 37 56 74 148 259 296 518 743 1,036 1,486 2,072 2,972 5,201 5,944 10,402 20,804 27,491 41,608 54,982 109,964 192,437 219,928 384,874 769,748 1,539,496

Collatz Trajectory (150 steps to reach 1)

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

1,539,496 769,748 384,874 192,437 577,312 288,656 144,328 72,164 36,082 18,041 54,124 27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274

More profiles

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