7,181,924

2² × 19 × 53 × 1783

Starting at 7,181,924, the Collatz iteration reaches 1 after 116 steps. The first transition is 3590962; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 53 × 1783

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,487,040

Proper Divisor Sum 6,305,116

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7181897 ← → #7181963

Radix Representation

Decimal	7181924
Binary	11011011001011001100100 (23 bits)
Octal	0o33313144
Hexadecimal	0x6D9664

Divisor Catalog (24)

1 2 4 19 38 53 76 106 212 1,007 1,783 2,014 3,566 4,028 7,132 33,877 67,754 94,499 135,508 188,998 377,996 1,795,481 3,590,962 7,181,924

Collatz Trajectory (116 steps to reach 1)

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

7,181,924 3,590,962 1,795,481 5,386,444 2,693,222 1,346,611 4,039,834 2,019,917 6,059,752 3,029,876 1,514,938 757,469 2,272,408 1,136,204 568,102 284,051 852,154 426,077 1,278,232 639,116 319,558 159,779 479,338 239,669 719,008 359,504 179,752 89,876 44,938 22,469 67,408 33,704 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276

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