λ
Integer Codex

4,926,420

22 × 34 × 5 × 3041
Abundant Even Composite

For 4,926,420, the 60 positive divisors have a total of 15,459,444. Removing 4,926,420 leaves 10,533,024, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 3041
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 15,459,444
Proper Divisor Sum 10,533,024
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4926419 ← → #4926451

Radix Representation

Decimal 4926420
Binary 10010110010101111010100 (23 bits)
Octal 0o22625724
Hexadecimal 0x4B2BD4

Divisor Catalog (60)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1,620 3,041 6,082 9,123 12,164 15,205 18,246 27,369 30,410 36,492 45,615 54,738 60,820 82,107 91,230 109,476 136,845 164,214 182,460 246,321 273,690 328,428 410,535 492,642 547,380 821,070 985,284 1,231,605 1,642,140 2,463,210 4,926,420

Collatz Trajectory (162 steps to reach 1)

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

4,926,420 2,463,210 1,231,605 3,694,816 1,847,408 923,704 461,852 230,926 115,463 346,390 173,195 519,586 259,793 779,380 389,690 194,845 584,536 292,268 146,134 73,067 219,202 109,601 328,804 164,402 82,201 246,604 123,302 61,651 184,954 92,477 277,432 138,716 69,358 34,679 104,038 52,019 156,058 78,029 234,088 117,044 58,522 29,261 87,784 43,892 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210

More profiles

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