λ
Harmonic Matrix

4,478,360

23 × 5 × 111959
Abundant Even Composite

4,478,360 has digital root 5. The neighboring primes are 4478359 and 4478381; its proper-divisor sum differs from the starting integer by 1,119,680.

Prime Factor Structure

Factorization String 2^3 × 5 × 111959
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,076,400
Proper Divisor Sum 5,598,040
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4478359 ← → #4478381

Radix Representation

Decimal 4478360
Binary 10001000101010110011000 (23 bits)
Octal 0o21052630
Hexadecimal 0x445598

Divisor Catalog (16)

1 2 4 5 8 10 20 40 111,959 223,918 447,836 559,795 895,672 1,119,590 2,239,180 4,478,360

Collatz Trajectory (180 steps to reach 1)

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

4,478,360 2,239,180 1,119,590 559,795 1,679,386 839,693 2,519,080 1,259,540 629,770 314,885 944,656 472,328 236,164 118,082 59,041 177,124 88,562 44,281 132,844 66,422 33,211 99,634 49,817 149,452 74,726 37,363 112,090 56,045 168,136 84,068 42,034 21,017 63,052 31,526 15,763 47,290 23,645 70,936 35,468 17,734 8,867 26,602 13,301 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738

More profiles

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