λ
Harmonic Matrix

7,943,464

23 × 232 × 1877
Deficient Even Composite

7,943,464 has digital root 1. The neighboring primes are 7943459 and 7943473; its proper-divisor sum differs from the starting integer by -308,918.

Prime Factor Structure

Factorization String 2^3 × 23^2 × 1877
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,578,010
Proper Divisor Sum 7,634,546
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7943459 ← → #7943473

Radix Representation

Decimal 7943464
Binary 11110010011010100101000 (23 bits)
Octal 0o36232450
Hexadecimal 0x793528

Divisor Catalog (24)

1 2 4 8 23 46 92 184 529 1,058 1,877 2,116 3,754 4,232 7,508 15,016 43,171 86,342 172,684 345,368 992,933 1,985,866 3,971,732 7,943,464

Collatz Trajectory (124 steps to reach 1)

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

7,943,464 3,971,732 1,985,866 992,933 2,978,800 1,489,400 744,700 372,350 186,175 558,526 279,263 837,790 418,895 1,256,686 628,343 1,885,030 942,515 2,827,546 1,413,773 4,241,320 2,120,660 1,060,330 530,165 1,590,496 795,248 397,624 198,812 99,406 49,703 149,110 74,555 223,666 111,833 335,500 167,750 83,875 251,626 125,813 377,440 188,720 94,360 47,180 23,590 11,795 35,386 17,693 53,080 26,540 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399

More profiles

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