λ
Harmonic Matrix

7,432,012

22 × 7 × 433 × 613
Abundant Even Composite

7,432,012 has digital root 1. The neighboring primes are 7432003 and 7432027; its proper-divisor sum differs from the starting integer by 58,632.

Prime Factor Structure

Factorization String 2^2 × 7 × 433 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,922,656
Proper Divisor Sum 7,490,644
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7432003 ← → #7432027

Radix Representation

Decimal 7432012
Binary 11100010110011101001100 (23 bits)
Octal 0o34263514
Hexadecimal 0x71674C

Divisor Catalog (24)

1 2 4 7 14 28 433 613 866 1,226 1,732 2,452 3,031 4,291 6,062 8,582 12,124 17,164 265,429 530,858 1,061,716 1,858,003 3,716,006 7,432,012

Collatz Trajectory (142 steps to reach 1)

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

7,432,012 3,716,006 1,858,003 5,574,010 2,787,005 8,361,016 4,180,508 2,090,254 1,045,127 3,135,382 1,567,691 4,703,074 2,351,537 7,054,612 3,527,306 1,763,653 5,290,960 2,645,480 1,322,740 661,370 330,685 992,056 496,028 248,014 124,007 372,022 186,011 558,034 279,017 837,052 418,526 209,263 627,790 313,895 941,686 470,843 1,412,530 706,265 2,118,796 1,059,398 529,699 1,589,098 794,549 2,383,648 1,191,824 595,912 297,956 148,978 74,489 223,468 111,734 55,867 167,602 83,801 251,404 125,702 62,851 188,554 94,277 282,832

More profiles

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