λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,495,974

4,495,974

2 × 3 × 7 × 167 × 641
Abundant Even Composite

4,495,974 factors as 2 × 3 × 7 × 167 × 641. Its 32 positive divisors give a proper-divisor sum of 5,858,202, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 167 × 641
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,354,176
Proper Divisor Sum 5,858,202
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4495921 ← → #4495979

Radix Representation

Decimal 4495974
Binary 10001001001101001100110 (23 bits)
Octal 0o21115146
Hexadecimal 0x449A66

Divisor Catalog (32)

1 2 3 6 7 14 21 42 167 334 501 641 1,002 1,169 1,282 1,923 2,338 3,507 3,846 4,487 7,014 8,974 13,461 26,922 107,047 214,094 321,141 642,282 749,329 1,498,658 2,247,987 4,495,974

Collatz Trajectory (110 steps to reach 1)

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

4,495,974 2,247,987 6,743,962 3,371,981 10,115,944 5,057,972 2,528,986 1,264,493 3,793,480 1,896,740 948,370 474,185 1,422,556 711,278 355,639 1,066,918 533,459 1,600,378 800,189 2,400,568 1,200,284 600,142 300,071 900,214 450,107 1,350,322 675,161 2,025,484 1,012,742 506,371 1,519,114 759,557 2,278,672 1,139,336 569,668 284,834 142,417 427,252 213,626 106,813 320,440 160,220 80,110 40,055 120,166 60,083 180,250 90,125 270,376 135,188 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,495,973 Browse Full Index Next Integer #4,495,975 →