λ
Sequence Observatory

9,306,223

9306223
Deficient Odd Prime

Starting at 9,306,223, the Collatz iteration reaches 1 after 163 steps. The first transition is 27918670; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 9306223
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,306,224
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9306197 ← → #9306229

Radix Representation

Decimal 9306223
Binary 100011100000000001101111 (24 bits)
Octal 0o43400157
Hexadecimal 0x8E006F

Divisor Catalog (2)

Collatz Trajectory (163 steps to reach 1)

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

9,306,223 27,918,670 13,959,335 41,878,006 20,939,003 62,817,010 31,408,505 94,225,516 47,112,758 23,556,379 70,669,138 35,334,569 106,003,708 53,001,854 26,500,927 79,502,782 39,751,391 119,254,174 59,627,087 178,881,262 89,440,631 268,321,894 134,160,947 402,482,842 201,241,421 603,724,264 301,862,132 150,931,066 75,465,533 226,396,600 113,198,300 56,599,150 28,299,575 84,898,726 42,449,363 127,348,090 63,674,045 191,022,136 95,511,068 47,755,534 23,877,767 71,633,302 35,816,651 107,449,954 53,724,977 161,174,932 80,587,466 40,293,733 120,881,200 60,440,600 30,220,300 15,110,150 7,555,075 22,665,226 11,332,613 33,997,840 16,998,920 8,499,460 4,249,730 2,124,865

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