λ
Prime Ledger

1,355,968

26 × 21187
Deficient Even Composite

1,355,968 has the prime decomposition 2^6 × 21187. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 21187
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 2,690,876
Proper Divisor Sum 1,334,908
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1355957 ← → #1355983

Radix Representation

Decimal 1355968
Binary 101001011000011000000 (21 bits)
Octal 0o5130300
Hexadecimal 0x14B0C0

Divisor Catalog (14)

1 2 4 8 16 32 64 21,187 42,374 84,748 169,496 338,992 677,984 1,355,968

Collatz Trajectory (137 steps to reach 1)

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

1,355,968 677,984 338,992 169,496 84,748 42,374 21,187 63,562 31,781 95,344 47,672 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 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 15,308 7,654 3,827 11,482 5,741 17,224 8,612

More profiles

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