λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,670,943

7,670,943

34 × 7 × 83 × 163
Deficient Odd Composite

7,670,943 factors as 3^4 × 7 × 83 × 163. Its 40 positive divisors give a proper-divisor sum of 5,664,225, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3^4 × 7 × 83 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,335,168
Proper Divisor Sum 5,664,225
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7670941 ← → #7670947

Radix Representation

Decimal 7670943
Binary 11101010000110010011111 (23 bits)
Octal 0o35206237
Hexadecimal 0x750C9F

Divisor Catalog (40)

1 3 7 9 21 27 63 81 83 163 189 249 489 567 581 747 1,141 1,467 1,743 2,241 3,423 4,401 5,229 6,723 10,269 13,203 13,529 15,687 30,807 40,587 47,061 92,421 94,703 121,761 284,109 365,283 852,327 1,095,849 2,556,981 7,670,943

Collatz Trajectory (248 steps to reach 1)

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

7,670,943 23,012,830 11,506,415 34,519,246 17,259,623 51,778,870 25,889,435 77,668,306 38,834,153 116,502,460 58,251,230 29,125,615 87,376,846 43,688,423 131,065,270 65,532,635 196,597,906 98,298,953 294,896,860 147,448,430 73,724,215 221,172,646 110,586,323 331,758,970 165,879,485 497,638,456 248,819,228 124,409,614 62,204,807 186,614,422 93,307,211 279,921,634 139,960,817 419,882,452 209,941,226 104,970,613 314,911,840 157,455,920 78,727,960 39,363,980 19,681,990 9,840,995 29,522,986 14,761,493 44,284,480 22,142,240 11,071,120 5,535,560 2,767,780 1,383,890 691,945 2,075,836 1,037,918 518,959 1,556,878 778,439 2,335,318 1,167,659 3,502,978 1,751,489

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,670,942 Browse Full Index Next Integer #7,670,944 →