λ
Ratio Atlas

23,072,003

23072003
Deficient Odd Prime

23,072,003 factors as 23072003. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 23072003
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 23,072,004
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #23071999 ← → #23072039

Radix Representation

Decimal 23072003
Binary 1011000000000110100000011 (25 bits)
Octal 0o130006403
Hexadecimal 0x1600D03

Divisor Catalog (2)

Collatz Trajectory (291 steps to reach 1)

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

23,072,003 69,216,010 34,608,005 103,824,016 51,912,008 25,956,004 12,978,002 6,489,001 19,467,004 9,733,502 4,866,751 14,600,254 7,300,127 21,900,382 10,950,191 32,850,574 16,425,287 49,275,862 24,637,931 73,913,794 36,956,897 110,870,692 55,435,346 27,717,673 83,153,020 41,576,510 20,788,255 62,364,766 31,182,383 93,547,150 46,773,575 140,320,726 70,160,363 210,481,090 105,240,545 315,721,636 157,860,818 78,930,409 236,791,228 118,395,614 59,197,807 177,593,422 88,796,711 266,390,134 133,195,067 399,585,202 199,792,601 599,377,804 299,688,902 149,844,451 449,533,354 224,766,677 674,300,032 337,150,016 168,575,008 84,287,504 42,143,752 21,071,876 10,535,938 5,267,969

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