737,673

3 × 29 × 61 × 139

737,673 factors as 3 × 29 × 61 × 139. Its 16 positive divisors give a proper-divisor sum of 303,927, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 29 × 61 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,041,600

Proper Divisor Sum 303,927

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #737663 ← → #737683

Radix Representation

Decimal	737673
Binary	10110100000110001001 (20 bits)
Octal	0o2640611
Hexadecimal	0xB4189

Divisor Catalog (16)

1 3 29 61 87 139 183 417 1,769 4,031 5,307 8,479 12,093 25,437 245,891 737,673

Collatz Trajectory (180 steps to reach 1)

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

737,673 2,213,020 1,106,510 553,255 1,659,766 829,883 2,489,650 1,244,825 3,734,476 1,867,238 933,619 2,800,858 1,400,429 4,201,288 2,100,644 1,050,322 525,161 1,575,484 787,742 393,871 1,181,614 590,807 1,772,422 886,211 2,658,634 1,329,317 3,987,952 1,993,976 996,988 498,494 249,247 747,742 373,871 1,121,614 560,807 1,682,422 841,211 2,523,634 1,261,817 3,785,452 1,892,726 946,363 2,839,090 1,419,545 4,258,636 2,129,318 1,064,659 3,193,978 1,596,989 4,790,968 2,395,484 1,197,742 598,871 1,796,614 898,307 2,694,922 1,347,461 4,042,384 2,021,192 1,010,596

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #737,672 Browse Full Index Next Integer #737,674 →