9,219,837

3 × 11³ × 2309

Starting at 9,219,837, the Collatz iteration reaches 1 after 256 steps. The first transition is 27659512; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^3 × 2309

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,527,360

Proper Divisor Sum 4,307,523

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9219823 ← → #9219841

Radix Representation

Decimal	9219837
Binary	100011001010111011111101 (24 bits)
Octal	0o43127375
Hexadecimal	0x8CAEFD

Divisor Catalog (16)

1 3 11 33 121 363 1,331 2,309 3,993 6,927 25,399 76,197 279,389 838,167 3,073,279 9,219,837

Collatz Trajectory (256 steps to reach 1)

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

9,219,837 27,659,512 13,829,756 6,914,878 3,457,439 10,372,318 5,186,159 15,558,478 7,779,239 23,337,718 11,668,859 35,006,578 17,503,289 52,509,868 26,254,934 13,127,467 39,382,402 19,691,201 59,073,604 29,536,802 14,768,401 44,305,204 22,152,602 11,076,301 33,228,904 16,614,452 8,307,226 4,153,613 12,460,840 6,230,420 3,115,210 1,557,605 4,672,816 2,336,408 1,168,204 584,102 292,051 876,154 438,077 1,314,232 657,116 328,558 164,279 492,838 246,419 739,258 369,629 1,108,888 554,444 277,222 138,611 415,834 207,917 623,752 311,876 155,938 77,969 233,908 116,954 58,477

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