λ
Prime Ledger

1,029,968

24 × 64373
Deficient Even Composite

1,029,968 has the prime decomposition 2^4 × 64373. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 64373
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 1,995,594
Proper Divisor Sum 965,626
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1029967 ← → #1029983

Radix Representation

Decimal 1029968
Binary 11111011011101010000 (20 bits)
Octal 0o3733520
Hexadecimal 0xFB750

Divisor Catalog (10)

1 2 4 8 16 64,373 128,746 257,492 514,984 1,029,968

Collatz Trajectory (51 steps to reach 1)

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

1,029,968 514,984 257,492 128,746 64,373 193,120 96,560 48,280 24,140 12,070 6,035 18,106 9,053 27,160 13,580 6,790 3,395 10,186 5,093 15,280 7,640 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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