λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,375,698

7,375,698

2 × 34 × 11 × 4139
Abundant Even Composite

7,375,698 factors as 2 × 3^4 × 11 × 4139. Its 40 positive divisors give a proper-divisor sum of 10,658,142, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 4139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,033,840
Proper Divisor Sum 10,658,142
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7375681 ← → #7375721

Radix Representation

Decimal 7375698
Binary 11100001000101101010010 (23 bits)
Octal 0o34105522
Hexadecimal 0x708B52

Divisor Catalog (40)

1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1,782 4,139 8,278 12,417 24,834 37,251 45,529 74,502 91,058 111,753 136,587 223,506 273,174 335,259 409,761 670,518 819,522 1,229,283 2,458,566 3,687,849 7,375,698

Collatz Trajectory (142 steps to reach 1)

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

7,375,698 3,687,849 11,063,548 5,531,774 2,765,887 8,297,662 4,148,831 12,446,494 6,223,247 18,669,742 9,334,871 28,004,614 14,002,307 42,006,922 21,003,461 63,010,384 31,505,192 15,752,596 7,876,298 3,938,149 11,814,448 5,907,224 2,953,612 1,476,806 738,403 2,215,210 1,107,605 3,322,816 1,661,408 830,704 415,352 207,676 103,838 51,919 155,758 77,879 233,638 116,819 350,458 175,229 525,688 262,844 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,375,697 Browse Full Index Next Integer #7,375,699 →