8,713,629

3³ × 322727

8,713,629 factors as 3^3 × 322727. Its 8 positive divisors give a proper-divisor sum of 4,195,491, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3^3 × 322727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,909,120

Proper Divisor Sum 4,195,491

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8713603 ← → #8713631

Radix Representation

Decimal	8713629
Binary	100001001111010110011101 (24 bits)
Octal	0o41172635
Hexadecimal	0x84F59D

Divisor Catalog (8)

1 3 9 27 322,727 968,181 2,904,543 8,713,629

Collatz Trajectory (181 steps to reach 1)

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

8,713,629 26,140,888 13,070,444 6,535,222 3,267,611 9,802,834 4,901,417 14,704,252 7,352,126 3,676,063 11,028,190 5,514,095 16,542,286 8,271,143 24,813,430 12,406,715 37,220,146 18,610,073 55,830,220 27,915,110 13,957,555 41,872,666 20,936,333 62,809,000 31,404,500 15,702,250 7,851,125 23,553,376 11,776,688 5,888,344 2,944,172 1,472,086 736,043 2,208,130 1,104,065 3,312,196 1,656,098 828,049 2,484,148 1,242,074 621,037 1,863,112 931,556 465,778 232,889 698,668 349,334 174,667 524,002 262,001 786,004 393,002 196,501 589,504 294,752 147,376 73,688 36,844 18,422 9,211

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,713,628 Browse Full Index Next Integer #8,713,630 →