λ
Sequence Observatory

7,200,023

7200023
Deficient Odd Prime

Starting at 7,200,023, the Collatz iteration reaches 1 after 191 steps. The first transition is 21600070; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7200023
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,200,024
Proper Divisor Sum 1
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #7200007 ← → #7200043

Radix Representation

Decimal 7200023
Binary 11011011101110100010111 (23 bits)
Octal 0o33356427
Hexadecimal 0x6DDD17

Divisor Catalog (2)

Collatz Trajectory (191 steps to reach 1)

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

7,200,023 21,600,070 10,800,035 32,400,106 16,200,053 48,600,160 24,300,080 12,150,040 6,075,020 3,037,510 1,518,755 4,556,266 2,278,133 6,834,400 3,417,200 1,708,600 854,300 427,150 213,575 640,726 320,363 961,090 480,545 1,441,636 720,818 360,409 1,081,228 540,614 270,307 810,922 405,461 1,216,384 608,192 304,096 152,048 76,024 38,012 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613

More profiles

← Previous Integer #7,200,022 Browse Full Index Next Integer #7,200,024 →