λ
Prime Ledger

2,101,335

3 × 5 × 31 × 4519
Deficient Odd Composite

2,101,335 has the prime decomposition 3 × 5 × 31 × 4519. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 4519
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,471,360
Proper Divisor Sum 1,370,025
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2101327 ← → #2101357

Radix Representation

Decimal 2101335
Binary 1000000001000001010111 (22 bits)
Octal 0o10010127
Hexadecimal 0x201057

Divisor Catalog (16)

1 3 5 15 31 93 155 465 4,519 13,557 22,595 67,785 140,089 420,267 700,445 2,101,335

Collatz Trajectory (91 steps to reach 1)

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

2,101,335 6,304,006 3,152,003 9,456,010 4,728,005 14,184,016 7,092,008 3,546,004 1,773,002 886,501 2,659,504 1,329,752 664,876 332,438 166,219 498,658 249,329 747,988 373,994 186,997 560,992 280,496 140,248 70,124 35,062 17,531 52,594 26,297 78,892 39,446 19,723 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336

More profiles

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