λ
Prime Ledger

6,722,570

2 × 5 × 73 × 9209
Deficient Even Composite

6,722,570 has the prime decomposition 2 × 5 × 73 × 9209. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 73 × 9209
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,267,720
Proper Divisor Sum 5,545,150
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6722563 ← → #6722581

Radix Representation

Decimal 6722570
Binary 11001101001010000001010 (23 bits)
Octal 0o31512012
Hexadecimal 0x66940A

Divisor Catalog (16)

1 2 5 10 73 146 365 730 9,209 18,418 46,045 92,090 672,257 1,344,514 3,361,285 6,722,570

Collatz Trajectory (284 steps to reach 1)

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

6,722,570 3,361,285 10,083,856 5,041,928 2,520,964 1,260,482 630,241 1,890,724 945,362 472,681 1,418,044 709,022 354,511 1,063,534 531,767 1,595,302 797,651 2,392,954 1,196,477 3,589,432 1,794,716 897,358 448,679 1,346,038 673,019 2,019,058 1,009,529 3,028,588 1,514,294 757,147 2,271,442 1,135,721 3,407,164 1,703,582 851,791 2,555,374 1,277,687 3,833,062 1,916,531 5,749,594 2,874,797 8,624,392 4,312,196 2,156,098 1,078,049 3,234,148 1,617,074 808,537 2,425,612 1,212,806 606,403 1,819,210 909,605 2,728,816 1,364,408 682,204 341,102 170,551 511,654 255,827

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