8,623,773

3³ × 319399

Starting at 8,623,773, the Collatz iteration reaches 1 after 181 steps. The first transition is 25871320; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 319399

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,776,000

Proper Divisor Sum 4,152,227

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8623763 ← → #8623787

Radix Representation

Decimal	8623773
Binary	100000111001011010011101 (24 bits)
Octal	0o40713235
Hexadecimal	0x83969D

Divisor Catalog (8)

1 3 9 27 319,399 958,197 2,874,591 8,623,773

Collatz Trajectory (181 steps to reach 1)

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

8,623,773 25,871,320 12,935,660 6,467,830 3,233,915 9,701,746 4,850,873 14,552,620 7,276,310 3,638,155 10,914,466 5,457,233 16,371,700 8,185,850 4,092,925 12,278,776 6,139,388 3,069,694 1,534,847 4,604,542 2,302,271 6,906,814 3,453,407 10,360,222 5,180,111 15,540,334 7,770,167 23,310,502 11,655,251 34,965,754 17,482,877 52,448,632 26,224,316 13,112,158 6,556,079 19,668,238 9,834,119 29,502,358 14,751,179 44,253,538 22,126,769 66,380,308 33,190,154 16,595,077 49,785,232 24,892,616 12,446,308 6,223,154 3,111,577 9,334,732 4,667,366 2,333,683 7,001,050 3,500,525 10,501,576 5,250,788 2,625,394 1,312,697 3,938,092 1,969,046

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