λ
Prime Ledger

2,689,616

24 × 97 × 1733
Deficient Even Composite

2,689,616 has the prime decomposition 2^4 × 97 × 1733. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 97 × 1733
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,267,892
Proper Divisor Sum 2,578,276
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2689613 ← → #2689619

Radix Representation

Decimal 2689616
Binary 1010010000101001010000 (22 bits)
Octal 0o12205120
Hexadecimal 0x290A50

Divisor Catalog (20)

1 2 4 8 16 97 194 388 776 1,552 1,733 3,466 6,932 13,864 27,728 168,101 336,202 672,404 1,344,808 2,689,616

Collatz Trajectory (138 steps to reach 1)

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

2,689,616 1,344,808 672,404 336,202 168,101 504,304 252,152 126,076 63,038 31,519 94,558 47,279 141,838 70,919 212,758 106,379 319,138 159,569 478,708 239,354 119,677 359,032 179,516 89,758 44,879 134,638 67,319 201,958 100,979 302,938 151,469 454,408 227,204 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364

More profiles

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