λ
Harmonic Matrix

2,460,642

2 × 3 × 67 × 6121
Abundant Even Composite

2,460,642 has digital root 6. The neighboring primes are 2460641 and 2460643; its proper-divisor sum differs from the starting integer by 74,268.

Prime Factor Structure

Factorization String 2 × 3 × 67 × 6121
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,995,552
Proper Divisor Sum 2,534,910
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2460641 ← → #2460643

Radix Representation

Decimal 2460642
Binary 1001011000101111100010 (22 bits)
Octal 0o11305742
Hexadecimal 0x258BE2

Divisor Catalog (16)

1 2 3 6 67 134 201 402 6,121 12,242 18,363 36,726 410,107 820,214 1,230,321 2,460,642

Collatz Trajectory (205 steps to reach 1)

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

2,460,642 1,230,321 3,690,964 1,845,482 922,741 2,768,224 1,384,112 692,056 346,028 173,014 86,507 259,522 129,761 389,284 194,642 97,321 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521 1,108,564 554,282 277,141 831,424 415,712 207,856 103,928 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730 124,865 374,596 187,298 93,649

More profiles

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