5,177,461

23 × 229 × 983

Starting at 5,177,461, the Collatz iteration reaches 1 after 100 steps. The first transition is 15532384; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 229 × 983

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,431,680

Proper Divisor Sum 254,219

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5177453 ← → #5177467

Radix Representation

Decimal	5177461
Binary	10011110000000001110101 (23 bits)
Octal	0o23600165
Hexadecimal	0x4F0075

Divisor Catalog (8)

1 23 229 983 5,267 22,609 225,107 5,177,461

Collatz Trajectory (100 steps to reach 1)

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

5,177,461 15,532,384 7,766,192 3,883,096 1,941,548 970,774 485,387 1,456,162 728,081 2,184,244 1,092,122 546,061 1,638,184 819,092 409,546 204,773 614,320 307,160 153,580 76,790 38,395 115,186 57,593 172,780 86,390 43,195 129,586 64,793 194,380 97,190 48,595 145,786 72,893 218,680 109,340 54,670 27,335 82,006 41,003 123,010 61,505 184,516 92,258 46,129 138,388 69,194 34,597 103,792 51,896 25,948 12,974 6,487 19,462 9,731 29,194 14,597 43,792 21,896 10,948 5,474

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