2,274,880

2⁶ × 5 × 7109

Starting at 2,274,880, the Collatz iteration reaches 1 after 192 steps. The first transition is 1137440; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5 × 7109

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 5,417,820

Proper Divisor Sum 3,142,940

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2274859 ← → #2274887

Radix Representation

Decimal	2274880
Binary	1000101011011001000000 (22 bits)
Octal	0o10533100
Hexadecimal	0x22B640

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 7,109 14,218 28,436 35,545 56,872 71,090 113,744 142,180 227,488 284,360 454,976 568,720 1,137,440 2,274,880

Collatz Trajectory (192 steps to reach 1)

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

2,274,880 1,137,440 568,720 284,360 142,180 71,090 35,545 106,636 53,318 26,659 79,978 39,989 119,968 59,984 29,992 14,996 7,498 3,749 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455

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