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Atlas › Integer Profiles › Node 7,205,985

7,205,985

32 × 5 × 79 × 2027
Deficient Odd Composite

7,205,985 factors as 3^2 × 5 × 79 × 2027. Its 24 positive divisors give a proper-divisor sum of 5,448,735, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 79 × 2027
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,654,720
Proper Divisor Sum 5,448,735
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7205971 ← → #7206019

Radix Representation

Decimal 7205985
Binary 11011011111010001100001 (23 bits)
Octal 0o33372141
Hexadecimal 0x6DF461

Divisor Catalog (24)

1 3 5 9 15 45 79 237 395 711 1,185 2,027 3,555 6,081 10,135 18,243 30,405 91,215 160,133 480,399 800,665 1,441,197 2,401,995 7,205,985

Collatz Trajectory (142 steps to reach 1)

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

7,205,985 21,617,956 10,808,978 5,404,489 16,213,468 8,106,734 4,053,367 12,160,102 6,080,051 18,240,154 9,120,077 27,360,232 13,680,116 6,840,058 3,420,029 10,260,088 5,130,044 2,565,022 1,282,511 3,847,534 1,923,767 5,771,302 2,885,651 8,656,954 4,328,477 12,985,432 6,492,716 3,246,358 1,623,179 4,869,538 2,434,769 7,304,308 3,652,154 1,826,077 5,478,232 2,739,116 1,369,558 684,779 2,054,338 1,027,169 3,081,508 1,540,754 770,377 2,311,132 1,155,566 577,783 1,733,350 866,675 2,600,026 1,300,013 3,900,040 1,950,020 975,010 487,505 1,462,516 731,258 365,629 1,096,888 548,444 274,222

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