λ
Harmonic Matrix

3,648,522

2 × 3 × 608087
Abundant Even Composite

3,648,522 has digital root 3. The neighboring primes are 3648521 and 3648527; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 608087
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,297,056
Proper Divisor Sum 3,648,534
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3648521 ← → #3648527

Radix Representation

Decimal 3648522
Binary 1101111010110000001010 (22 bits)
Octal 0o15726012
Hexadecimal 0x37AC0A

Divisor Catalog (8)

1 2 3 6 608,087 1,216,174 1,824,261 3,648,522

Collatz Trajectory (190 steps to reach 1)

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

3,648,522 1,824,261 5,472,784 2,736,392 1,368,196 684,098 342,049 1,026,148 513,074 256,537 769,612 384,806 192,403 577,210 288,605 865,816 432,908 216,454 108,227 324,682 162,341 487,024 243,512 121,756 60,878 30,439 91,318 45,659 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111

More profiles

← Previous Integer #3,648,521 Browse Full Index Next Integer #3,648,523 →