λ
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Atlas › Integer Profiles › Node 4,124,705

4,124,705

5 × 13 × 23 × 31 × 89
Deficient Odd Composite

4,124,705 factors as 5 × 13 × 23 × 31 × 89. Its 32 positive divisors give a proper-divisor sum of 1,681,375, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 5 × 13 × 23 × 31 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,806,080
Proper Divisor Sum 1,681,375
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4124677 ← → #4124707

Radix Representation

Decimal 4124705
Binary 1111101111000000100001 (22 bits)
Octal 0o17570041
Hexadecimal 0x3EF021

Divisor Catalog (32)

1 5 13 23 31 65 89 115 155 299 403 445 713 1,157 1,495 2,015 2,047 2,759 3,565 5,785 9,269 10,235 13,795 26,611 35,867 46,345 63,457 133,055 179,335 317,285 824,941 4,124,705

Collatz Trajectory (92 steps to reach 1)

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

4,124,705 12,374,116 6,187,058 3,093,529 9,280,588 4,640,294 2,320,147 6,960,442 3,480,221 10,440,664 5,220,332 2,610,166 1,305,083 3,915,250 1,957,625 5,872,876 2,936,438 1,468,219 4,404,658 2,202,329 6,606,988 3,303,494 1,651,747 4,955,242 2,477,621 7,432,864 3,716,432 1,858,216 929,108 464,554 232,277 696,832 348,416 174,208 87,104 43,552 21,776 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373

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