λ
Sequence Observatory

7,451,167

7451167
Deficient Odd Prime

Starting at 7,451,167, the Collatz iteration reaches 1 after 160 steps. The first transition is 22353502; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7451167
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,451,168
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7451161 ← → #7451177

Radix Representation

Decimal 7451167
Binary 11100011011001000011111 (23 bits)
Octal 0o34331037
Hexadecimal 0x71B21F

Divisor Catalog (2)

Collatz Trajectory (160 steps to reach 1)

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

7,451,167 22,353,502 11,176,751 33,530,254 16,765,127 50,295,382 25,147,691 75,443,074 37,721,537 113,164,612 56,582,306 28,291,153 84,873,460 42,436,730 21,218,365 63,655,096 31,827,548 15,913,774 7,956,887 23,870,662 11,935,331 35,805,994 17,902,997 53,708,992 26,854,496 13,427,248 6,713,624 3,356,812 1,678,406 839,203 2,517,610 1,258,805 3,776,416 1,888,208 944,104 472,052 236,026 118,013 354,040 177,020 88,510 44,255 132,766 66,383 199,150 99,575 298,726 149,363 448,090 224,045 672,136 336,068 168,034 84,017 252,052 126,026 63,013 189,040 94,520 47,260

More profiles

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