λ
Prime Ledger

4,679,636

22 × 13 × 31 × 2903
Deficient Even Composite

4,679,636 has the prime decomposition 2^2 × 13 × 31 × 2903. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 2903
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,106,944
Proper Divisor Sum 4,427,308
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4679629 ← → #4679639

Radix Representation

Decimal 4679636
Binary 10001110110011111010100 (23 bits)
Octal 0o21663724
Hexadecimal 0x4767D4

Divisor Catalog (24)

1 2 4 13 26 31 52 62 124 403 806 1,612 2,903 5,806 11,612 37,739 75,478 89,993 150,956 179,986 359,972 1,169,909 2,339,818 4,679,636

Collatz Trajectory (149 steps to reach 1)

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

4,679,636 2,339,818 1,169,909 3,509,728 1,754,864 877,432 438,716 219,358 109,679 329,038 164,519 493,558 246,779 740,338 370,169 1,110,508 555,254 277,627 832,882 416,441 1,249,324 624,662 312,331 936,994 468,497 1,405,492 702,746 351,373 1,054,120 527,060 263,530 131,765 395,296 197,648 98,824 49,412 24,706 12,353 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826

More profiles

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