8,583,913

13 × 29 × 22769

Starting at 8,583,913, the Collatz iteration reaches 1 after 181 steps. The first transition is 25751740; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 29 × 22769

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,563,400

Proper Divisor Sum 979,487

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8583907 ← → #8583919

Radix Representation

Decimal	8583913
Binary	100000101111101011101001 (24 bits)
Octal	0o40575351
Hexadecimal	0x82FAE9

Divisor Catalog (8)

1 13 29 377 22,769 295,997 660,301 8,583,913

Collatz Trajectory (181 steps to reach 1)

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

8,583,913 25,751,740 12,875,870 6,437,935 19,313,806 9,656,903 28,970,710 14,485,355 43,456,066 21,728,033 65,184,100 32,592,050 16,296,025 48,888,076 24,444,038 12,222,019 36,666,058 18,333,029 54,999,088 27,499,544 13,749,772 6,874,886 3,437,443 10,312,330 5,156,165 15,468,496 7,734,248 3,867,124 1,933,562 966,781 2,900,344 1,450,172 725,086 362,543 1,087,630 543,815 1,631,446 815,723 2,447,170 1,223,585 3,670,756 1,835,378 917,689 2,753,068 1,376,534 688,267 2,064,802 1,032,401 3,097,204 1,548,602 774,301 2,322,904 1,161,452 580,726 290,363 871,090 435,545 1,306,636 653,318 326,659

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