4,719,013

13 × 17 × 131 × 163

Starting at 4,719,013, the Collatz iteration reaches 1 after 100 steps. The first transition is 14157040; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 131 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,455,296

Proper Divisor Sum 736,283

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4719007 ← → #4719031

Radix Representation

Decimal	4719013
Binary	10010000000000110100101 (23 bits)
Octal	0o22000645
Hexadecimal	0x4801A5

Divisor Catalog (16)

1 13 17 131 163 221 1,703 2,119 2,227 2,771 21,353 28,951 36,023 277,589 363,001 4,719,013

Collatz Trajectory (100 steps to reach 1)

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

4,719,013 14,157,040 7,078,520 3,539,260 1,769,630 884,815 2,654,446 1,327,223 3,981,670 1,990,835 5,972,506 2,986,253 8,958,760 4,479,380 2,239,690 1,119,845 3,359,536 1,679,768 839,884 419,942 209,971 629,914 314,957 944,872 472,436 236,218 118,109 354,328 177,164 88,582 44,291 132,874 66,437 199,312 99,656 49,828 24,914 12,457 37,372 18,686 9,343 28,030 14,015 42,046 21,023 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869 179,608

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