λ
Harmonic Matrix

5,325,634

2 × 991 × 2687
Deficient Even Composite

5,325,634 has digital root 1. The neighboring primes are 5325623 and 5325659; its proper-divisor sum differs from the starting integer by -2,651,780.

Prime Factor Structure

Factorization String 2 × 991 × 2687
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,999,488
Proper Divisor Sum 2,673,854
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5325623 ← → #5325659

Radix Representation

Decimal 5325634
Binary 10100010100001101000010 (23 bits)
Octal 0o24241502
Hexadecimal 0x514342

Divisor Catalog (8)

1 2 991 1,982 2,687 5,374 2,662,817 5,325,634

Collatz Trajectory (232 steps to reach 1)

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

5,325,634 2,662,817 7,988,452 3,994,226 1,997,113 5,991,340 2,995,670 1,497,835 4,493,506 2,246,753 6,740,260 3,370,130 1,685,065 5,055,196 2,527,598 1,263,799 3,791,398 1,895,699 5,687,098 2,843,549 8,530,648 4,265,324 2,132,662 1,066,331 3,198,994 1,599,497 4,798,492 2,399,246 1,199,623 3,598,870 1,799,435 5,398,306 2,699,153 8,097,460 4,048,730 2,024,365 6,073,096 3,036,548 1,518,274 759,137 2,277,412 1,138,706 569,353 1,708,060 854,030 427,015 1,281,046 640,523 1,921,570 960,785 2,882,356 1,441,178 720,589 2,161,768 1,080,884 540,442 270,221 810,664 405,332 202,666

More profiles

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