λ
Harmonic Matrix

3,249,087

3 × 577 × 1877
Deficient Odd Composite

3,249,087 has digital root 6. The neighboring primes are 3249083 and 3249097; its proper-divisor sum differs from the starting integer by -2,156,238.

Prime Factor Structure

Factorization String 3 × 577 × 1877
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,341,936
Proper Divisor Sum 1,092,849
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3249083 ← → #3249097

Radix Representation

Decimal 3249087
Binary 1100011001001110111111 (22 bits)
Octal 0o14311677
Hexadecimal 0x3193BF

Divisor Catalog (8)

1 3 577 1,731 1,877 5,631 1,083,029 3,249,087

Collatz Trajectory (151 steps to reach 1)

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

3,249,087 9,747,262 4,873,631 14,620,894 7,310,447 21,931,342 10,965,671 32,897,014 16,448,507 49,345,522 24,672,761 74,018,284 37,009,142 18,504,571 55,513,714 27,756,857 83,270,572 41,635,286 20,817,643 62,452,930 31,226,465 93,679,396 46,839,698 23,419,849 70,259,548 35,129,774 17,564,887 52,694,662 26,347,331 79,041,994 39,520,997 118,562,992 59,281,496 29,640,748 14,820,374 7,410,187 22,230,562 11,115,281 33,345,844 16,672,922 8,336,461 25,009,384 12,504,692 6,252,346 3,126,173 9,378,520 4,689,260 2,344,630 1,172,315 3,516,946 1,758,473 5,275,420 2,637,710 1,318,855 3,956,566 1,978,283 5,934,850 2,967,425 8,902,276 4,451,138

More profiles

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