λ
Ratio Atlas

7,272,151

7272151
Deficient Odd Prime

7,272,151 factors as 7272151. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 7272151
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,272,152
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7272149 ← → #7272173

Radix Representation

Decimal 7272151
Binary 11011101111011011010111 (23 bits)
Octal 0o33573327
Hexadecimal 0x6EF6D7

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

7,272,151 21,816,454 10,908,227 32,724,682 16,362,341 49,087,024 24,543,512 12,271,756 6,135,878 3,067,939 9,203,818 4,601,909 13,805,728 6,902,864 3,451,432 1,725,716 862,858 431,429 1,294,288 647,144 323,572 161,786 80,893 242,680 121,340 60,670 30,335 91,006 45,503 136,510 68,255 204,766 102,383 307,150 153,575 460,726 230,363 691,090 345,545 1,036,636 518,318 259,159 777,478 388,739 1,166,218 583,109 1,749,328 874,664 437,332 218,666 109,333 328,000 164,000 82,000 41,000 20,500 10,250 5,125 15,376 7,688

More profiles

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