λ
Prime Ledger

8,107,005

3 × 5 × 43 × 12569
Deficient Odd Composite

8,107,005 has the prime decomposition 3 × 5 × 43 × 12569. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 43 × 12569
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,273,920
Proper Divisor Sum 5,166,915
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8107003 ← → #8107019

Radix Representation

Decimal 8107005
Binary 11110111011001111111101 (23 bits)
Octal 0o36731775
Hexadecimal 0x7BB3FD

Divisor Catalog (16)

1 3 5 15 43 129 215 645 12,569 37,707 62,845 188,535 540,467 1,621,401 2,702,335 8,107,005

Collatz Trajectory (230 steps to reach 1)

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

8,107,005 24,321,016 12,160,508 6,080,254 3,040,127 9,120,382 4,560,191 13,680,574 6,840,287 20,520,862 10,260,431 30,781,294 15,390,647 46,171,942 23,085,971 69,257,914 34,628,957 103,886,872 51,943,436 25,971,718 12,985,859 38,957,578 19,478,789 58,436,368 29,218,184 14,609,092 7,304,546 3,652,273 10,956,820 5,478,410 2,739,205 8,217,616 4,108,808 2,054,404 1,027,202 513,601 1,540,804 770,402 385,201 1,155,604 577,802 288,901 866,704 433,352 216,676 108,338 54,169 162,508 81,254 40,627 121,882 60,941 182,824 91,412 45,706 22,853 68,560 34,280 17,140 8,570

More profiles

← Previous Integer #8,107,004 Browse Full Index Next Integer #8,107,006 →