λ
Harmonic Matrix

1,502,658

2 × 33 × 27827
Abundant Even Composite

1,502,658 has digital root 9. The neighboring primes are 1502651 and 1502687; its proper-divisor sum differs from the starting integer by 334,044.

Prime Factor Structure

Factorization String 2 × 3^3 × 27827
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,339,360
Proper Divisor Sum 1,836,702
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1502651 ← → #1502687

Radix Representation

Decimal 1502658
Binary 101101110110111000010 (21 bits)
Octal 0o5566702
Hexadecimal 0x16EDC2

Divisor Catalog (16)

1 2 3 6 9 18 27 54 27,827 55,654 83,481 166,962 250,443 500,886 751,329 1,502,658

Collatz Trajectory (137 steps to reach 1)

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

1,502,658 751,329 2,253,988 1,126,994 563,497 1,690,492 845,246 422,623 1,267,870 633,935 1,901,806 950,903 2,852,710 1,426,355 4,279,066 2,139,533 6,418,600 3,209,300 1,604,650 802,325 2,406,976 1,203,488 601,744 300,872 150,436 75,218 37,609 112,828 56,414 28,207 84,622 42,311 126,934 63,467 190,402 95,201 285,604 142,802 71,401 214,204 107,102 53,551 160,654 80,327 240,982 120,491 361,474 180,737 542,212 271,106 135,553 406,660 203,330 101,665 304,996 152,498 76,249 228,748 114,374 57,187

More profiles

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