4,726,750

2 × 5³ × 7 × 37 × 73

Starting at 4,726,750, the Collatz iteration reaches 1 after 330 steps. The first transition is 2363375; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 7 × 37 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,528,128

Proper Divisor Sum 5,801,378

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4726747 ← → #4726759

Radix Representation

Decimal	4726750
Binary	10010000001111111011110 (23 bits)
Octal	0o22017736
Hexadecimal	0x481FDE

Divisor Catalog (60 of 64)

1 2 5 7 10 14 25 35 37 50 70 73 74 125 146 175 185 250 259 350 365 370 511 518 730 875 925 1,022 1,295 1,750 1,825 1,850 2,555 2,590 2,701 3,650 4,625 5,110 5,402 6,475 9,125 9,250 12,775 12,950 13,505 18,250 18,907 25,550 27,010 32,375 37,814 63,875 64,750 67,525 94,535 127,750 135,050 189,070 337,625 472,675

Collatz Trajectory (330 steps to reach 1)

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

4,726,750 2,363,375 7,090,126 3,545,063 10,635,190 5,317,595 15,952,786 7,976,393 23,929,180 11,964,590 5,982,295 17,946,886 8,973,443 26,920,330 13,460,165 40,380,496 20,190,248 10,095,124 5,047,562 2,523,781 7,571,344 3,785,672 1,892,836 946,418 473,209 1,419,628 709,814 354,907 1,064,722 532,361 1,597,084 798,542 399,271 1,197,814 598,907 1,796,722 898,361 2,695,084 1,347,542 673,771 2,021,314 1,010,657 3,031,972 1,515,986 757,993 2,273,980 1,136,990 568,495 1,705,486 852,743 2,558,230 1,279,115 3,837,346 1,918,673 5,756,020 2,878,010 1,439,005 4,317,016 2,158,508 1,079,254

← Previous Integer #4,726,749 Browse Full Index Next Integer #4,726,751 →