λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,612,671

4,612,671

32 × 7 × 211 × 347
Deficient Odd Composite

4,612,671 factors as 3^2 × 7 × 211 × 347. Its 24 positive divisors give a proper-divisor sum of 3,060,033, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 211 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,672,704
Proper Divisor Sum 3,060,033
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4612669 ← → #4612693

Radix Representation

Decimal 4612671
Binary 10001100110001000111111 (23 bits)
Octal 0o21461077
Hexadecimal 0x46623F

Divisor Catalog (24)

1 3 7 9 21 63 211 347 633 1,041 1,477 1,899 2,429 3,123 4,431 7,287 13,293 21,861 73,217 219,651 512,519 658,953 1,537,557 4,612,671

Collatz Trajectory (180 steps to reach 1)

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

4,612,671 13,838,014 6,919,007 20,757,022 10,378,511 31,135,534 15,567,767 46,703,302 23,351,651 70,054,954 35,027,477 105,082,432 52,541,216 26,270,608 13,135,304 6,567,652 3,283,826 1,641,913 4,925,740 2,462,870 1,231,435 3,694,306 1,847,153 5,541,460 2,770,730 1,385,365 4,156,096 2,078,048 1,039,024 519,512 259,756 129,878 64,939 194,818 97,409 292,228 146,114 73,057 219,172 109,586 54,793 164,380 82,190 41,095 123,286 61,643 184,930 92,465 277,396 138,698 69,349 208,048 104,024 52,012 26,006 13,003 39,010 19,505 58,516 29,258

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,612,670 Browse Full Index Next Integer #4,612,672 →