λ
Harmonic Matrix

4,821,688

23 × 602711
Deficient Even Composite

4,821,688 has digital root 1. The neighboring primes are 4821671 and 4821689; its proper-divisor sum differs from the starting integer by -602,696.

Prime Factor Structure

Factorization String 2^3 × 602711
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,040,680
Proper Divisor Sum 4,218,992
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4821671 ← → #4821689

Radix Representation

Decimal 4821688
Binary 10010011001001010111000 (23 bits)
Octal 0o22311270
Hexadecimal 0x4992B8

Divisor Catalog (8)

1 2 4 8 602,711 1,205,422 2,410,844 4,821,688

Collatz Trajectory (144 steps to reach 1)

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

4,821,688 2,410,844 1,205,422 602,711 1,808,134 904,067 2,712,202 1,356,101 4,068,304 2,034,152 1,017,076 508,538 254,269 762,808 381,404 190,702 95,351 286,054 143,027 429,082 214,541 643,624 321,812 160,906 80,453 241,360 120,680 60,340 30,170 15,085 45,256 22,628 11,314 5,657 16,972 8,486 4,243 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616

More profiles

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