λ
Sigma Notebook

4,964,480

27 × 5 × 7757
Abundant Even Composite

4,964,480 is even and not a perfect square. Its factorization is 2^7 × 5 × 7757 and its 32 divisors sum to 11,869,740.

Prime Factor Structure

Factorization String 2^7 × 5 × 7757
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,869,740
Proper Divisor Sum 6,905,260
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4964473 ← → #4964483

Radix Representation

Decimal 4964480
Binary 10010111100000010000000 (23 bits)
Octal 0o22740200
Hexadecimal 0x4BC080

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 7,757 15,514 31,028 38,785 62,056 77,570 124,112 155,140 248,224 310,280 496,448 620,560 992,896 1,241,120 2,482,240 4,964,480

Collatz Trajectory (87 steps to reach 1)

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

4,964,480 2,482,240 1,241,120 620,560 310,280 155,140 77,570 38,785 116,356 58,178 29,089 87,268 43,634 21,817 65,452 32,726 16,363 49,090 24,545 73,636 36,818 18,409 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601 139,804 69,902 34,951 104,854 52,427 157,282 78,641 235,924 117,962 58,981 176,944 88,472 44,236 22,118 11,059 33,178 16,589 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875

More profiles

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