4,464,484

2² × 23 × 48527

4,464,484 factors as 2^2 × 23 × 48527. Its 12 positive divisors give a proper-divisor sum of 3,688,220, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 48527

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,152,704

Proper Divisor Sum 3,688,220

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4464469 ← → #4464491

Radix Representation

Decimal	4464484
Binary	10001000001111101100100 (23 bits)
Octal	0o21017544
Hexadecimal	0x441F64

Divisor Catalog (12)

1 2 4 23 46 92 48,527 97,054 194,108 1,116,121 2,232,242 4,464,484

Collatz Trajectory (180 steps to reach 1)

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

4,464,484 2,232,242 1,116,121 3,348,364 1,674,182 837,091 2,511,274 1,255,637 3,766,912 1,883,456 941,728 470,864 235,432 117,716 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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