λ
Prime Ledger

8,208,709

37 × 61 × 3637
Deficient Odd Composite

8,208,709 has the prime decomposition 37 × 61 × 3637. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 61 × 3637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,571,128
Proper Divisor Sum 362,419
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8208667 ← → #8208721

Radix Representation

Decimal 8208709
Binary 11111010100000101000101 (23 bits)
Octal 0o37240505
Hexadecimal 0x7D4145

Divisor Catalog (8)

1 37 61 2,257 3,637 134,569 221,857 8,208,709

Collatz Trajectory (54 steps to reach 1)

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

8,208,709 24,626,128 12,313,064 6,156,532 3,078,266 1,539,133 4,617,400 2,308,700 1,154,350 577,175 1,731,526 865,763 2,597,290 1,298,645 3,895,936 1,947,968 973,984 486,992 243,496 121,748 60,874 30,437 91,312 45,656 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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