3,733,758

2 × 3² × 7 × 29633

3,733,758 factors as 2 × 3^2 × 7 × 29633. Its 24 positive divisors give a proper-divisor sum of 5,512,050, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 29633

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,245,808

Proper Divisor Sum 5,512,050

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3733757 ← → #3733771

Radix Representation

Decimal	3733758
Binary	1110001111100011111110 (22 bits)
Octal	0o16174376
Hexadecimal	0x38F8FE

Divisor Catalog (24)

Collatz Trajectory (172 steps to reach 1)

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

3,733,758 1,866,879 5,600,638 2,800,319 8,400,958 4,200,479 12,601,438 6,300,719 18,902,158 9,451,079 28,353,238 14,176,619 42,529,858 21,264,929 63,794,788 31,897,394 15,948,697 47,846,092 23,923,046 11,961,523 35,884,570 17,942,285 53,826,856 26,913,428 13,456,714 6,728,357 20,185,072 10,092,536 5,046,268 2,523,134 1,261,567 3,784,702 1,892,351 5,677,054 2,838,527 8,515,582 4,257,791 12,773,374 6,386,687 19,160,062 9,580,031 28,740,094 14,370,047 43,110,142 21,555,071 64,665,214 32,332,607 96,997,822 48,498,911 145,496,734 72,748,367 218,245,102 109,122,551 327,367,654 163,683,827 491,051,482 245,525,741 736,577,224 368,288,612 184,144,306

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,733,757 Browse Full Index Next Integer #3,733,759 →