λ
Harmonic Matrix

980,648

23 × 37 × 3313
Deficient Even Composite

980,648 has digital root 8. The neighboring primes are 980641 and 980677; its proper-divisor sum differs from the starting integer by -72,316.

Prime Factor Structure

Factorization String 2^3 × 37 × 3313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,888,980
Proper Divisor Sum 908,332
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #980641 ← → #980677

Radix Representation

Decimal 980648
Binary 11101111011010101000 (20 bits)
Octal 0o3573250
Hexadecimal 0xEF6A8

Divisor Catalog (16)

1 2 4 8 37 74 148 296 3,313 6,626 13,252 26,504 122,581 245,162 490,324 980,648

Collatz Trajectory (183 steps to reach 1)

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

980,648 490,324 245,162 122,581 367,744 183,872 91,936 45,968 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206

More profiles

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