λ
Harmonic Matrix

4,374,120

23 × 3 × 5 × 36451
Abundant Even Composite

4,374,120 has digital root 3. The neighboring primes are 4374119 and 4374133; its proper-divisor sum differs from the starting integer by 4,374,480.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 36451
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,122,720
Proper Divisor Sum 8,748,600
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4374119 ← → #4374133

Radix Representation

Decimal 4374120
Binary 10000101011111001101000 (23 bits)
Octal 0o20537150
Hexadecimal 0x42BE68

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 36,451 72,902 109,353 145,804 182,255 218,706 291,608 364,510 437,412 546,765 729,020 874,824 1,093,530 1,458,040 2,187,060 4,374,120

Collatz Trajectory (211 steps to reach 1)

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

4,374,120 2,187,060 1,093,530 546,765 1,640,296 820,148 410,074 205,037 615,112 307,556 153,778 76,889 230,668 115,334 57,667 173,002 86,501 259,504 129,752 64,876 32,438 16,219 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486

More profiles

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