4,813,636

2² × 1097²

4,813,636 factors as 2^2 × 1097^2. Its 9 positive divisors give a proper-divisor sum of 3,617,913, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^2 × 1097^2

Distinct Prime Factors 2

Square Status Yes (√4813636 = 2194)

Abundance Measure Deficient

Analytical Properties

Total Divisors 9

Divisor Sum (σ) 8,431,549

Proper Divisor Sum 3,617,913

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4813621 ← → #4813639

Radix Representation

Decimal	4813636
Binary	10010010111001101000100 (23 bits)
Octal	0o22271504
Hexadecimal	0x497344

Divisor Catalog (9)

1 2 4 1,097 2,194 4,388 1,203,409 2,406,818 4,813,636

Collatz Trajectory (144 steps to reach 1)

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

4,813,636 2,406,818 1,203,409 3,610,228 1,805,114 902,557 2,707,672 1,353,836 676,918 338,459 1,015,378 507,689 1,523,068 761,534 380,767 1,142,302 571,151 1,713,454 856,727 2,570,182 1,285,091 3,855,274 1,927,637 5,782,912 2,891,456 1,445,728 722,864 361,432 180,716 90,358 45,179 135,538 67,769 203,308 101,654 50,827 152,482 76,241 228,724 114,362 57,181 171,544 85,772 42,886 21,443 64,330 32,165 96,496 48,248 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536

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