7,123,329

3³ × 263827

7,123,329 factors as 3^3 × 263827. Its 8 positive divisors give a proper-divisor sum of 3,429,791, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3^3 × 263827

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,553,120

Proper Divisor Sum 3,429,791

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7123327 ← → #7123331

Radix Representation

Decimal	7123329
Binary	11011001011000110000001 (23 bits)
Octal	0o33130601
Hexadecimal	0x6CB181

Divisor Catalog (8)

1 3 9 27 263,827 791,481 2,374,443 7,123,329

Collatz Trajectory (160 steps to reach 1)

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

7,123,329 21,369,988 10,684,994 5,342,497 16,027,492 8,013,746 4,006,873 12,020,620 6,010,310 3,005,155 9,015,466 4,507,733 13,523,200 6,761,600 3,380,800 1,690,400 845,200 422,600 211,300 105,650 52,825 158,476 79,238 39,619 118,858 59,429 178,288 89,144 44,572 22,286 11,143 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,123,328 Browse Full Index Next Integer #7,123,330 →