3,732,379

7² × 19² × 211

3,732,379 factors as 7^2 × 19^2 × 211. Its 18 positive divisors give a proper-divisor sum of 871,625, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 7^2 × 19^2 × 211

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 4,604,004

Proper Divisor Sum 871,625

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3732373 ← → #3732383

Radix Representation

Decimal	3732379
Binary	1110001111001110011011 (22 bits)
Octal	0o16171633
Hexadecimal	0x38F39B

Divisor Catalog (18)

1 7 19 49 133 211 361 931 1,477 2,527 4,009 10,339 17,689 28,063 76,171 196,441 533,197 3,732,379

Collatz Trajectory (159 steps to reach 1)

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

3,732,379 11,197,138 5,598,569 16,795,708 8,397,854 4,198,927 12,596,782 6,298,391 18,895,174 9,447,587 28,342,762 14,171,381 42,514,144 21,257,072 10,628,536 5,314,268 2,657,134 1,328,567 3,985,702 1,992,851 5,978,554 2,989,277 8,967,832 4,483,916 2,241,958 1,120,979 3,362,938 1,681,469 5,044,408 2,522,204 1,261,102 630,551 1,891,654 945,827 2,837,482 1,418,741 4,256,224 2,128,112 1,064,056 532,028 266,014 133,007 399,022 199,511 598,534 299,267 897,802 448,901 1,346,704 673,352 336,676 168,338 84,169 252,508 126,254 63,127 189,382 94,691 284,074 142,037

← Previous Integer #3,732,378 Browse Full Index Next Integer #3,732,380 →