λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,452,987

4,452,987

3 × 7 × 11 × 37 × 521
Deficient Odd Composite

4,452,987 factors as 3 × 7 × 11 × 37 × 521. Its 32 positive divisors give a proper-divisor sum of 3,164,037, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 37 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,617,024
Proper Divisor Sum 3,164,037
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4452953 ← → #4453013

Radix Representation

Decimal 4452987
Binary 10000111111001001111011 (23 bits)
Octal 0o20771173
Hexadecimal 0x43F27B

Divisor Catalog (32)

1 3 7 11 21 33 37 77 111 231 259 407 521 777 1,221 1,563 2,849 3,647 5,731 8,547 10,941 17,193 19,277 40,117 57,831 120,351 134,939 212,047 404,817 636,141 1,484,329 4,452,987

Collatz Trajectory (193 steps to reach 1)

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

4,452,987 13,358,962 6,679,481 20,038,444 10,019,222 5,009,611 15,028,834 7,514,417 22,543,252 11,271,626 5,635,813 16,907,440 8,453,720 4,226,860 2,113,430 1,056,715 3,170,146 1,585,073 4,755,220 2,377,610 1,188,805 3,566,416 1,783,208 891,604 445,802 222,901 668,704 334,352 167,176 83,588 41,794 20,897 62,692 31,346 15,673 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,452,986 Browse Full Index Next Integer #4,452,988 →