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Atlas › Integer Profiles › Node 2,490,636

2,490,636

22 × 3 × 17 × 29 × 421
Abundant Even Composite

Starting at 2,490,636, the Collatz iteration reaches 1 after 112 steps. The first transition is 1245318; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 29 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,380,640
Proper Divisor Sum 3,890,004
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2490623 ← → #2490637

Radix Representation

Decimal 2490636
Binary 1001100000000100001100 (22 bits)
Octal 0o11400414
Hexadecimal 0x26010C

Divisor Catalog (48)

1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 421 493 842 986 1,263 1,479 1,684 1,972 2,526 2,958 5,052 5,916 7,157 12,209 14,314 21,471 24,418 28,628 36,627 42,942 48,836 73,254 85,884 146,508 207,553 415,106 622,659 830,212 1,245,318 2,490,636

Collatz Trajectory (112 steps to reach 1)

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

2,490,636 1,245,318 622,659 1,867,978 933,989 2,801,968 1,400,984 700,492 350,246 175,123 525,370 262,685 788,056 394,028 197,014 98,507 295,522 147,761 443,284 221,642 110,821 332,464 166,232 83,116 41,558 20,779 62,338 31,169 93,508 46,754 23,377 70,132 35,066 17,533 52,600 26,300 13,150 6,575 19,726 9,863 29,590 14,795 44,386 22,193 66,580 33,290 16,645 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439

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