λ
Prime Ledger

2,770,664

23 × 13 × 26641
Abundant Even Composite

2,770,664 has the prime decomposition 2^3 × 13 × 26641. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 26641
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,594,820
Proper Divisor Sum 2,824,156
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2770639 ← → #2770667

Radix Representation

Decimal 2770664
Binary 1010100100011011101000 (22 bits)
Octal 0o12443350
Hexadecimal 0x2A46E8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 26,641 53,282 106,564 213,128 346,333 692,666 1,385,332 2,770,664

Collatz Trajectory (169 steps to reach 1)

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

2,770,664 1,385,332 692,666 346,333 1,039,000 519,500 259,750 129,875 389,626 194,813 584,440 292,220 146,110 73,055 219,166 109,583 328,750 164,375 493,126 246,563 739,690 369,845 1,109,536 554,768 277,384 138,692 69,346 34,673 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82

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