λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,465,101

7,465,101

3 × 72 × 43 × 1181
Deficient Odd Composite

7,465,101 factors as 3 × 7^2 × 43 × 1181. Its 24 positive divisors give a proper-divisor sum of 4,392,723, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 43 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,857,824
Proper Divisor Sum 4,392,723
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7465099 ← → #7465109

Radix Representation

Decimal 7465101
Binary 11100011110100010001101 (23 bits)
Octal 0o34364215
Hexadecimal 0x71E88D

Divisor Catalog (24)

1 3 7 21 43 49 129 147 301 903 1,181 2,107 3,543 6,321 8,267 24,801 50,783 57,869 152,349 173,607 355,481 1,066,443 2,488,367 7,465,101

Collatz Trajectory (173 steps to reach 1)

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

7,465,101 22,395,304 11,197,652 5,598,826 2,799,413 8,398,240 4,199,120 2,099,560 1,049,780 524,890 262,445 787,336 393,668 196,834 98,417 295,252 147,626 73,813 221,440 110,720 55,360 27,680 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,465,100 Browse Full Index Next Integer #7,465,102 →