λ
Harmonic Matrix

7,322,628

22 × 3 × 610219
Abundant Even Composite

7,322,628 has digital root 3. The neighboring primes are 7322621 and 7322663; its proper-divisor sum differs from the starting integer by 2,440,904.

Prime Factor Structure

Factorization String 2^2 × 3 × 610219
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,086,160
Proper Divisor Sum 9,763,532
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7322621 ← → #7322663

Radix Representation

Decimal 7322628
Binary 11011111011110000000100 (23 bits)
Octal 0o33736004
Hexadecimal 0x6FBC04

Divisor Catalog (12)

1 2 3 4 6 12 610,219 1,220,438 1,830,657 2,440,876 3,661,314 7,322,628

Collatz Trajectory (59 steps to reach 1)

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

7,322,628 3,661,314 1,830,657 5,491,972 2,745,986 1,372,993 4,118,980 2,059,490 1,029,745 3,089,236 1,544,618 772,309 2,316,928 1,158,464 579,232 289,616 144,808 72,404 36,202 18,101 54,304 27,152 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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