735,240

2³ × 3 × 5 × 11 × 557

Starting at 735,240, the Collatz iteration reaches 1 after 87 steps. The first transition is 367620; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 557

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,410,560

Proper Divisor Sum 1,675,320

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #735239 ← → #735247

Radix Representation

Decimal	735240
Binary	10110011100000001000 (20 bits)
Octal	0o2634010
Hexadecimal	0xB3808

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 557 660 1,114 1,320 1,671 2,228 2,785 3,342 4,456 5,570 6,127 6,684 8,355 11,140 12,254 13,368 16,710 18,381 22,280 24,508 30,635 33,420 36,762 49,016 61,270 66,840 73,524 91,905 122,540 147,048

Collatz Trajectory (87 steps to reach 1)

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

735,240 367,620 183,810 91,905 275,716 137,858 68,929 206,788 103,394 51,697 155,092 77,546 38,773 116,320 58,160 29,080 14,540 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130

← Previous Integer #735,239 Browse Full Index Next Integer #735,241 →