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Atlas › Integer Profiles › Node 3,915,459

3,915,459

36 × 41 × 131
Deficient Odd Composite

3,915,459 factors as 3^6 × 41 × 131. Its 28 positive divisors give a proper-divisor sum of 2,144,133, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3^6 × 41 × 131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 6,059,592
Proper Divisor Sum 2,144,133
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3915433 ← → #3915469

Radix Representation

Decimal 3915459
Binary 1110111011111011000011 (22 bits)
Octal 0o16737303
Hexadecimal 0x3BBEC3

Divisor Catalog (28)

1 3 9 27 41 81 123 131 243 369 393 729 1,107 1,179 3,321 3,537 5,371 9,963 10,611 16,113 29,889 31,833 48,339 95,499 145,017 435,051 1,305,153 3,915,459

Collatz Trajectory (229 steps to reach 1)

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

3,915,459 11,746,378 5,873,189 17,619,568 8,809,784 4,404,892 2,202,446 1,101,223 3,303,670 1,651,835 4,955,506 2,477,753 7,433,260 3,716,630 1,858,315 5,574,946 2,787,473 8,362,420 4,181,210 2,090,605 6,271,816 3,135,908 1,567,954 783,977 2,351,932 1,175,966 587,983 1,763,950 881,975 2,645,926 1,322,963 3,968,890 1,984,445 5,953,336 2,976,668 1,488,334 744,167 2,232,502 1,116,251 3,348,754 1,674,377 5,023,132 2,511,566 1,255,783 3,767,350 1,883,675 5,651,026 2,825,513 8,476,540 4,238,270 2,119,135 6,357,406 3,178,703 9,536,110 4,768,055 14,304,166 7,152,083 21,456,250 10,728,125 32,184,376

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