λ
Sequence Observatory
Atlas › Integer Profiles › Node 2,783,312

2,783,312

24 × 7 × 24851
Abundant Even Composite

Starting at 2,783,312, the Collatz iteration reaches 1 after 169 steps. The first transition is 1391656; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 24851
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,163,296
Proper Divisor Sum 3,379,984
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2783311 ← → #2783317

Radix Representation

Decimal 2783312
Binary 1010100111100001010000 (22 bits)
Octal 0o12474120
Hexadecimal 0x2A7850

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 24,851 49,702 99,404 173,957 198,808 347,914 397,616 695,828 1,391,656 2,783,312

Collatz Trajectory (169 steps to reach 1)

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

2,783,312 1,391,656 695,828 347,914 173,957 521,872 260,936 130,468 65,234 32,617 97,852 48,926 24,463 73,390 36,695 110,086 55,043 165,130 82,565 247,696 123,848 61,924 30,962 15,481 46,444 23,222 11,611 34,834 17,417 52,252 26,126 13,063 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82

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