7,779,093

3 × 7² × 52919

7,779,093 factors as 3 × 7^2 × 52919. Its 12 positive divisors give a proper-divisor sum of 4,286,667, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 52919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,065,760

Proper Divisor Sum 4,286,667

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7779077 ← → #7779097

Radix Representation

Decimal	7779093
Binary	11101101011001100010101 (23 bits)
Octal	0o35531425
Hexadecimal	0x76B315

Divisor Catalog (12)

1 3 7 21 49 147 52,919 158,757 370,433 1,111,299 2,593,031 7,779,093

Collatz Trajectory (186 steps to reach 1)

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

7,779,093 23,337,280 11,668,640 5,834,320 2,917,160 1,458,580 729,290 364,645 1,093,936 546,968 273,484 136,742 68,371 205,114 102,557 307,672 153,836 76,918 38,459 115,378 57,689 173,068 86,534 43,267 129,802 64,901 194,704 97,352 48,676 24,338 12,169 36,508 18,254 9,127 27,382 13,691 41,074 20,537 61,612 30,806 15,403 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,779,092 Browse Full Index Next Integer #7,779,094 →