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Atlas › Integer Profiles › Node 3,945,015

3,945,015

32 × 5 × 29 × 3023
Deficient Odd Composite

3,945,015 factors as 3^2 × 5 × 29 × 3023. Its 24 positive divisors give a proper-divisor sum of 3,131,145, so this integer is deficient. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 29 × 3023
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,076,160
Proper Divisor Sum 3,131,145
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3945013 ← → #3945017

Radix Representation

Decimal 3945015
Binary 1111000011001000110111 (22 bits)
Octal 0o17031067
Hexadecimal 0x3C3237

Divisor Catalog (24)

1 3 5 9 15 29 45 87 145 261 435 1,305 3,023 9,069 15,115 27,207 45,345 87,667 136,035 263,001 438,335 789,003 1,315,005 3,945,015

Collatz Trajectory (291 steps to reach 1)

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

3,945,015 11,835,046 5,917,523 17,752,570 8,876,285 26,628,856 13,314,428 6,657,214 3,328,607 9,985,822 4,992,911 14,978,734 7,489,367 22,468,102 11,234,051 33,702,154 16,851,077 50,553,232 25,276,616 12,638,308 6,319,154 3,159,577 9,478,732 4,739,366 2,369,683 7,109,050 3,554,525 10,663,576 5,331,788 2,665,894 1,332,947 3,998,842 1,999,421 5,998,264 2,999,132 1,499,566 749,783 2,249,350 1,124,675 3,374,026 1,687,013 5,061,040 2,530,520 1,265,260 632,630 316,315 948,946 474,473 1,423,420 711,710 355,855 1,067,566 533,783 1,601,350 800,675 2,402,026 1,201,013 3,603,040 1,801,520 900,760

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