λ
Harmonic Matrix

4,743,580

22 × 5 × 237179
Abundant Even Composite

4,743,580 has digital root 4. The neighboring primes are 4743509 and 4743587; its proper-divisor sum differs from the starting integer by 474,400.

Prime Factor Structure

Factorization String 2^2 × 5 × 237179
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,961,560
Proper Divisor Sum 5,217,980
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4743509 ← → #4743587

Radix Representation

Decimal 4743580
Binary 10010000110000110011100 (23 bits)
Octal 0o22060634
Hexadecimal 0x48619C

Divisor Catalog (12)

1 2 4 5 10 20 237,179 474,358 948,716 1,185,895 2,371,790 4,743,580

Collatz Trajectory (100 steps to reach 1)

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

4,743,580 2,371,790 1,185,895 3,557,686 1,778,843 5,336,530 2,668,265 8,004,796 4,002,398 2,001,199 6,003,598 3,001,799 9,005,398 4,502,699 13,508,098 6,754,049 20,262,148 10,131,074 5,065,537 15,196,612 7,598,306 3,799,153 11,397,460 5,698,730 2,849,365 8,548,096 4,274,048 2,137,024 1,068,512 534,256 267,128 133,564 66,782 33,391 100,174 50,087 150,262 75,131 225,394 112,697 338,092 169,046 84,523 253,570 126,785 380,356 190,178 95,089 285,268 142,634 71,317 213,952 106,976 53,488 26,744 13,372 6,686 3,343 10,030 5,015

More profiles

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