λ
Harmonic Matrix

2,601,960

23 × 3 × 5 × 21683
Abundant Even Composite

2,601,960 has digital root 6. The neighboring primes are 2601943 and 2601979; its proper-divisor sum differs from the starting integer by 2,602,320.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 21683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,806,240
Proper Divisor Sum 5,204,280
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2601943 ← → #2601979

Radix Representation

Decimal 2601960
Binary 1001111011001111101000 (22 bits)
Octal 0o11731750
Hexadecimal 0x27B3E8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 21,683 43,366 65,049 86,732 108,415 130,098 173,464 216,830 260,196 325,245 433,660 520,392 650,490 867,320 1,300,980 2,601,960

Collatz Trajectory (130 steps to reach 1)

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

2,601,960 1,300,980 650,490 325,245 975,736 487,868 243,934 121,967 365,902 182,951 548,854 274,427 823,282 411,641 1,234,924 617,462 308,731 926,194 463,097 1,389,292 694,646 347,323 1,041,970 520,985 1,562,956 781,478 390,739 1,172,218 586,109 1,758,328 879,164 439,582 219,791 659,374 329,687 989,062 494,531 1,483,594 741,797 2,225,392 1,112,696 556,348 278,174 139,087 417,262 208,631 625,894 312,947 938,842 469,421 1,408,264 704,132 352,066 176,033 528,100 264,050 132,025 396,076 198,038 99,019

More profiles

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