λ
Harmonic Matrix

2,460,264

23 × 3 × 23 × 4457
Abundant Even Composite

2,460,264 has digital root 6. The neighboring primes are 2460229 and 2460277; its proper-divisor sum differs from the starting integer by 1,498,992.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 4457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,419,520
Proper Divisor Sum 3,959,256
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2460229 ← → #2460277

Radix Representation

Decimal 2460264
Binary 1001011000101001101000 (22 bits)
Octal 0o11305150
Hexadecimal 0x258A68

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 4,457 8,914 13,371 17,828 26,742 35,656 53,484 102,511 106,968 205,022 307,533 410,044 615,066 820,088 1,230,132 2,460,264

Collatz Trajectory (236 steps to reach 1)

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

2,460,264 1,230,132 615,066 307,533 922,600 461,300 230,650 115,325 345,976 172,988 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467 1,108,402 554,201 1,662,604 831,302 415,651 1,246,954 623,477 1,870,432 935,216 467,608 233,804 116,902 58,451 175,354 87,677 263,032 131,516 65,758 32,879 98,638 49,319 147,958 73,979 221,938 110,969 332,908 166,454 83,227 249,682 124,841 374,524 187,262 93,631

More profiles

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