λ
Prime Ledger

4,242,708

22 × 32 × 67 × 1759
Abundant Even Composite

4,242,708 has the prime decomposition 2^2 × 3^2 × 67 × 1759. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 67 × 1759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,890,880
Proper Divisor Sum 6,648,172
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4242677 ← → #4242709

Radix Representation

Decimal 4242708
Binary 10000001011110100010100 (23 bits)
Octal 0o20136424
Hexadecimal 0x40BD14

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1,206 1,759 2,412 3,518 5,277 7,036 10,554 15,831 21,108 31,662 63,324 117,853 235,706 353,559 471,412 707,118 1,060,677 1,414,236 2,121,354 4,242,708

Collatz Trajectory (110 steps to reach 1)

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

4,242,708 2,121,354 1,060,677 3,182,032 1,591,016 795,508 397,754 198,877 596,632 298,316 149,158 74,579 223,738 111,869 335,608 167,804 83,902 41,951 125,854 62,927 188,782 94,391 283,174 141,587 424,762 212,381 637,144 318,572 159,286 79,643 238,930 119,465 358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798 1,530,899 4,592,698 2,296,349 6,889,048 3,444,524 1,722,262 861,131 2,583,394 1,291,697 3,875,092 1,937,546 968,773

More profiles

← Previous Integer #4,242,707 Browse Full Index Next Integer #4,242,709 →