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Atlas › Integer Profiles › Node 3,882,015

3,882,015

32 × 5 × 281 × 307
Deficient Odd Composite

3,882,015 factors as 3^2 × 5 × 281 × 307. Its 24 positive divisors give a proper-divisor sum of 2,892,753, so this integer is deficient. The Collatz stopping time is 340 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 281 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,774,768
Proper Divisor Sum 2,892,753
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3882007 ← → #3882019

Radix Representation

Decimal 3882015
Binary 1110110011110000011111 (22 bits)
Octal 0o16636037
Hexadecimal 0x3B3C1F

Divisor Catalog (24)

1 3 5 9 15 45 281 307 843 921 1,405 1,535 2,529 2,763 4,215 4,605 12,645 13,815 86,267 258,801 431,335 776,403 1,294,005 3,882,015

Collatz Trajectory (340 steps to reach 1)

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

3,882,015 11,646,046 5,823,023 17,469,070 8,734,535 26,203,606 13,101,803 39,305,410 19,652,705 58,958,116 29,479,058 14,739,529 44,218,588 22,109,294 11,054,647 33,163,942 16,581,971 49,745,914 24,872,957 74,618,872 37,309,436 18,654,718 9,327,359 27,982,078 13,991,039 41,973,118 20,986,559 62,959,678 31,479,839 94,439,518 47,219,759 141,659,278 70,829,639 212,488,918 106,244,459 318,733,378 159,366,689 478,100,068 239,050,034 119,525,017 358,575,052 179,287,526 89,643,763 268,931,290 134,465,645 403,396,936 201,698,468 100,849,234 50,424,617 151,273,852 75,636,926 37,818,463 113,455,390 56,727,695 170,183,086 85,091,543 255,274,630 127,637,315 382,911,946 191,455,973

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