λ
Ratio Atlas

72,246,767

72246767
Deficient Odd Prime

72,246,767 factors as 72246767. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 290 steps.

Prime Factor Structure

Factorization String 72246767
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 72,246,768
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #72246761 ← → #72246773

Radix Representation

Decimal 72246767
Binary 100010011100110010111101111 (27 bits)
Octal 0o423462757
Hexadecimal 0x44E65EF

Divisor Catalog (2)

Collatz Trajectory (290 steps to reach 1)

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

72,246,767 216,740,302 108,370,151 325,110,454 162,555,227 487,665,682 243,832,841 731,498,524 365,749,262 182,874,631 548,623,894 274,311,947 822,935,842 411,467,921 1,234,403,764 617,201,882 308,600,941 925,802,824 462,901,412 231,450,706 115,725,353 347,176,060 173,588,030 86,794,015 260,382,046 130,191,023 390,573,070 195,286,535 585,859,606 292,929,803 878,789,410 439,394,705 1,318,184,116 659,092,058 329,546,029 988,638,088 494,319,044 247,159,522 123,579,761 370,739,284 185,369,642 92,684,821 278,054,464 139,027,232 69,513,616 34,756,808 17,378,404 8,689,202 4,344,601 13,033,804 6,516,902 3,258,451 9,775,354 4,887,677 14,663,032 7,331,516 3,665,758 1,832,879 5,498,638 2,749,319

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