λ
Ratio Atlas

7,959,209

7959209
Deficient Odd Prime

7,959,209 factors as 7959209. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 7959209
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,959,210
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7959199 ← → #7959221

Radix Representation

Decimal 7959209
Binary 11110010111001010101001 (23 bits)
Octal 0o36271251
Hexadecimal 0x7972A9

Divisor Catalog (2)

1 7,959,209

Collatz Trajectory (168 steps to reach 1)

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

7,959,209 23,877,628 11,938,814 5,969,407 17,908,222 8,954,111 26,862,334 13,431,167 40,293,502 20,146,751 60,440,254 30,220,127 90,660,382 45,330,191 135,990,574 67,995,287 203,985,862 101,992,931 305,978,794 152,989,397 458,968,192 229,484,096 114,742,048 57,371,024 28,685,512 14,342,756 7,171,378 3,585,689 10,757,068 5,378,534 2,689,267 8,067,802 4,033,901 12,101,704 6,050,852 3,025,426 1,512,713 4,538,140 2,269,070 1,134,535 3,403,606 1,701,803 5,105,410 2,552,705 7,658,116 3,829,058 1,914,529 5,743,588 2,871,794 1,435,897 4,307,692 2,153,846 1,076,923 3,230,770 1,615,385 4,846,156 2,423,078 1,211,539 3,634,618 1,817,309

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