λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,124,547

4,124,547

33 × 7 × 139 × 157
Deficient Odd Composite

4,124,547 factors as 3^3 × 7 × 139 × 157. Its 32 positive divisors give a proper-divisor sum of 2,953,853, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 139 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,078,400
Proper Divisor Sum 2,953,853
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4124509 ← → #4124563

Radix Representation

Decimal 4124547
Binary 1111101110111110000011 (22 bits)
Octal 0o17567603
Hexadecimal 0x3EEF83

Divisor Catalog (32)

1 3 7 9 21 27 63 139 157 189 417 471 973 1,099 1,251 1,413 2,919 3,297 3,753 4,239 8,757 9,891 21,823 26,271 29,673 65,469 152,761 196,407 458,283 589,221 1,374,849 4,124,547

Collatz Trajectory (185 steps to reach 1)

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

4,124,547 12,373,642 6,186,821 18,560,464 9,280,232 4,640,116 2,320,058 1,160,029 3,480,088 1,740,044 870,022 435,011 1,305,034 652,517 1,957,552 978,776 489,388 244,694 122,347 367,042 183,521 550,564 275,282 137,641 412,924 206,462 103,231 309,694 154,847 464,542 232,271 696,814 348,407 1,045,222 522,611 1,567,834 783,917 2,351,752 1,175,876 587,938 293,969 881,908 440,954 220,477 661,432 330,716 165,358 82,679 248,038 124,019 372,058 186,029 558,088 279,044 139,522 69,761 209,284 104,642 52,321 156,964

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,124,546 Browse Full Index Next Integer #4,124,548 →