5,349,767

53 × 193 × 523

Starting at 5,349,767, the Collatz iteration reaches 1 after 325 steps. The first transition is 16049302; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 53 × 193 × 523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,489,424

Proper Divisor Sum 139,657

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #5349739 ← → #5349769

Radix Representation

Decimal	5349767
Binary	10100011010000110000111 (23 bits)
Octal	0o24320607
Hexadecimal	0x51A187

Divisor Catalog (8)

1 53 193 523 10,229 27,719 100,939 5,349,767

Collatz Trajectory (325 steps to reach 1)

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

5,349,767 16,049,302 8,024,651 24,073,954 12,036,977 36,110,932 18,055,466 9,027,733 27,083,200 13,541,600 6,770,800 3,385,400 1,692,700 846,350 423,175 1,269,526 634,763 1,904,290 952,145 2,856,436 1,428,218 714,109 2,142,328 1,071,164 535,582 267,791 803,374 401,687 1,205,062 602,531 1,807,594 903,797 2,711,392 1,355,696 677,848 338,924 169,462 84,731 254,194 127,097 381,292 190,646 95,323 285,970 142,985 428,956 214,478 107,239 321,718 160,859 482,578 241,289 723,868 361,934 180,967 542,902 271,451 814,354 407,177 1,221,532

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