λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,907,210

7,907,210

2 × 5 × 17 × 193 × 241
Deficient Even Composite

7,907,210 factors as 2 × 5 × 17 × 193 × 241. Its 32 positive divisors give a proper-divisor sum of 7,303,942, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 193 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,211,152
Proper Divisor Sum 7,303,942
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7907183 ← → #7907213

Radix Representation

Decimal 7907210
Binary 11110001010011110001010 (23 bits)
Octal 0o36123612
Hexadecimal 0x78A78A

Divisor Catalog (32)

1 2 5 10 17 34 85 170 193 241 386 482 965 1,205 1,930 2,410 3,281 4,097 6,562 8,194 16,405 20,485 32,810 40,970 46,513 93,026 232,565 465,130 790,721 1,581,442 3,953,605 7,907,210

Collatz Trajectory (93 steps to reach 1)

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

7,907,210 3,953,605 11,860,816 5,930,408 2,965,204 1,482,602 741,301 2,223,904 1,111,952 555,976 277,988 138,994 69,497 208,492 104,246 52,123 156,370 78,185 234,556 117,278 58,639 175,918 87,959 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,907,209 Browse Full Index Next Integer #7,907,211 →