λ
Prime Ledger

6,960,736

25 × 37 × 5879
Abundant Even Composite

6,960,736 has the prime decomposition 2^5 × 37 × 5879. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 37 × 5879
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,076,720
Proper Divisor Sum 7,115,984
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6960731 ← → #6960739

Radix Representation

Decimal 6960736
Binary 11010100011011001100000 (23 bits)
Octal 0o32433140
Hexadecimal 0x6A3660

Divisor Catalog (24)

1 2 4 8 16 32 37 74 148 296 592 1,184 5,879 11,758 23,516 47,032 94,064 188,128 217,523 435,046 870,092 1,740,184 3,480,368 6,960,736

Collatz Trajectory (191 steps to reach 1)

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

6,960,736 3,480,368 1,740,184 870,092 435,046 217,523 652,570 326,285 978,856 489,428 244,714 122,357 367,072 183,536 91,768 45,884 22,942 11,471 34,414 17,207 51,622 25,811 77,434 38,717 116,152 58,076 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361

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