766,491

3 × 11 × 23227

766,491 factors as 3 × 11 × 23227. Its 8 positive divisors give a proper-divisor sum of 348,453, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3 × 11 × 23227

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,114,944

Proper Divisor Sum 348,453

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #766487 ← → #766501

Radix Representation

Decimal	766491
Binary	10111011001000011011 (20 bits)
Octal	0o2731033
Hexadecimal	0xBB21B

Divisor Catalog (8)

1 3 11 33 23,227 69,681 255,497 766,491

Collatz Trajectory (118 steps to reach 1)

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

766,491 2,299,474 1,149,737 3,449,212 1,724,606 862,303 2,586,910 1,293,455 3,880,366 1,940,183 5,820,550 2,910,275 8,730,826 4,365,413 13,096,240 6,548,120 3,274,060 1,637,030 818,515 2,455,546 1,227,773 3,683,320 1,841,660 920,830 460,415 1,381,246 690,623 2,071,870 1,035,935 3,107,806 1,553,903 4,661,710 2,330,855 6,992,566 3,496,283 10,488,850 5,244,425 15,733,276 7,866,638 3,933,319 11,799,958 5,899,979 17,699,938 8,849,969 26,549,908 13,274,954 6,637,477 19,912,432 9,956,216 4,978,108 2,489,054 1,244,527 3,733,582 1,866,791 5,600,374 2,800,187 8,400,562 4,200,281 12,600,844 6,300,422

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #766,490 Browse Full Index Next Integer #766,492 →