λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,470,970

12,470,970

2 × 3 × 5 × 41 × 10139
Abundant Even Composite

12,470,970 factors as 2 × 3 × 5 × 41 × 10139. Its 32 positive divisors give a proper-divisor sum of 18,192,390, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 41 × 10139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,663,360
Proper Divisor Sum 18,192,390
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #12470917 ← → #12470971

Radix Representation

Decimal 12470970
Binary 101111100100101010111010 (24 bits)
Octal 0o57445272
Hexadecimal 0xBE4ABA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1,230 10,139 20,278 30,417 50,695 60,834 101,390 152,085 304,170 415,699 831,398 1,247,097 2,078,495 2,494,194 4,156,990 6,235,485 12,470,970

Collatz Trajectory (91 steps to reach 1)

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

12,470,970 6,235,485 18,706,456 9,353,228 4,676,614 2,338,307 7,014,922 3,507,461 10,522,384 5,261,192 2,630,596 1,315,298 657,649 1,972,948 986,474 493,237 1,479,712 739,856 369,928 184,964 92,482 46,241 138,724 69,362 34,681 104,044 52,022 26,011 78,034 39,017 117,052 58,526 29,263 87,790 43,895 131,686 65,843 197,530 98,765 296,296 148,148 74,074 37,037 111,112 55,556 27,778 13,889 41,668 20,834 10,417 31,252 15,626 7,813 23,440 11,720 5,860 2,930 1,465 4,396 2,198

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #12,470,969 Browse Full Index Next Integer #12,470,971 →