7,181,461

7 × 709 × 1447

Starting at 7,181,461, the Collatz iteration reaches 1 after 160 steps. The first transition is 21544384; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 709 × 1447

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,224,640

Proper Divisor Sum 1,043,179

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7181453 ← → #7181477

Radix Representation

Decimal	7181461
Binary	11011011001010010010101 (23 bits)
Octal	0o33312225
Hexadecimal	0x6D9495

Divisor Catalog (8)

1 7 709 1,447 4,963 10,129 1,025,923 7,181,461

Collatz Trajectory (160 steps to reach 1)

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

7,181,461 21,544,384 10,772,192 5,386,096 2,693,048 1,346,524 673,262 336,631 1,009,894 504,947 1,514,842 757,421 2,272,264 1,136,132 568,066 284,033 852,100 426,050 213,025 639,076 319,538 159,769 479,308 239,654 119,827 359,482 179,741 539,224 269,612 134,806 67,403 202,210 101,105 303,316 151,658 75,829 227,488 113,744 56,872 28,436 14,218 7,109 21,328 10,664 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214

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