λ
Harmonic Matrix

3,652,458

2 × 3 × 608743
Abundant Even Composite

3,652,458 has digital root 6. The neighboring primes are 3652447 and 3652459; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 608743
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,304,928
Proper Divisor Sum 3,652,470
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3652447 ← → #3652459

Radix Representation

Decimal 3652458
Binary 1101111011101101101010 (22 bits)
Octal 0o15735552
Hexadecimal 0x37BB6A

Divisor Catalog (8)

1 2 3 6 608,743 1,217,486 1,826,229 3,652,458

Collatz Trajectory (115 steps to reach 1)

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

3,652,458 1,826,229 5,478,688 2,739,344 1,369,672 684,836 342,418 171,209 513,628 256,814 128,407 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337 139,012

More profiles

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