λ
Harmonic Matrix

5,943,628

22 × 193 × 7699
Deficient Even Composite

5,943,628 has digital root 1. The neighboring primes are 5943617 and 5943629; its proper-divisor sum differs from the starting integer by -1,430,656.

Prime Factor Structure

Factorization String 2^2 × 193 × 7699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,456,600
Proper Divisor Sum 4,512,972
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5943617 ← → #5943629

Radix Representation

Decimal 5943628
Binary 10110101011000101001100 (23 bits)
Octal 0o26530514
Hexadecimal 0x5AB14C

Divisor Catalog (12)

1 2 4 193 386 772 7,699 15,398 30,796 1,485,907 2,971,814 5,943,628

Collatz Trajectory (95 steps to reach 1)

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

5,943,628 2,971,814 1,485,907 4,457,722 2,228,861 6,686,584 3,343,292 1,671,646 835,823 2,507,470 1,253,735 3,761,206 1,880,603 5,641,810 2,820,905 8,462,716 4,231,358 2,115,679 6,347,038 3,173,519 9,520,558 4,760,279 14,280,838 7,140,419 21,421,258 10,710,629 32,131,888 16,065,944 8,032,972 4,016,486 2,008,243 6,024,730 3,012,365 9,037,096 4,518,548 2,259,274 1,129,637 3,388,912 1,694,456 847,228 423,614 211,807 635,422 317,711 953,134 476,567 1,429,702 714,851 2,144,554 1,072,277 3,216,832 1,608,416 804,208 402,104 201,052 100,526 50,263 150,790 75,395 226,186

More profiles

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