λ
Integer Codex

4,974,636

22 × 3 × 414553
Abundant Even Composite

For 4,974,636, the 12 positive divisors have a total of 11,607,512. Removing 4,974,636 leaves 6,632,876, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 414553
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,607,512
Proper Divisor Sum 6,632,876
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4974587 ← → #4974649

Radix Representation

Decimal 4974636
Binary 10010111110100000101100 (23 bits)
Octal 0o22764054
Hexadecimal 0x4BE82C

Divisor Catalog (12)

1 2 3 4 6 12 414,553 829,106 1,243,659 1,658,212 2,487,318 4,974,636

Collatz Trajectory (113 steps to reach 1)

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

4,974,636 2,487,318 1,243,659 3,730,978 1,865,489 5,596,468 2,798,234 1,399,117 4,197,352 2,098,676 1,049,338 524,669 1,574,008 787,004 393,502 196,751 590,254 295,127 885,382 442,691 1,328,074 664,037 1,992,112 996,056 498,028 249,014 124,507 373,522 186,761 560,284 280,142 140,071 420,214 210,107 630,322 315,161 945,484 472,742 236,371 709,114 354,557 1,063,672 531,836 265,918 132,959 398,878 199,439 598,318 299,159 897,478 448,739 1,346,218 673,109 2,019,328 1,009,664 504,832 252,416 126,208 63,104 31,552

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