λ
Prime Ledger

2,630,688

25 × 3 × 67 × 409
Abundant Even Composite

2,630,688 has the prime decomposition 2^5 × 3 × 67 × 409. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 67 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,025,760
Proper Divisor Sum 4,395,072
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2630681 ← → #2630689

Radix Representation

Decimal 2630688
Binary 1010000010010000100000 (22 bits)
Octal 0o12022040
Hexadecimal 0x282420

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 409 536 804 818 1,072 1,227 1,608 1,636 2,144 2,454 3,216 3,272 4,908 6,432 6,544 9,816 13,088 19,632 27,403 39,264 54,806 82,209 109,612 164,418 219,224 328,836 438,448 657,672 876,896 1,315,344 2,630,688

Collatz Trajectory (81 steps to reach 1)

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

2,630,688 1,315,344 657,672 328,836 164,418 82,209 246,628 123,314 61,657 184,972 92,486 46,243 138,730 69,365 208,096 104,048 52,024 26,012 13,006 6,503 19,510 9,755 29,266 14,633 43,900 21,950 10,975 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464

More profiles

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