5,013,536

2⁵ × 11 × 14243

Starting at 5,013,536, the Collatz iteration reaches 1 after 82 steps. The first transition is 2506768; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 11 × 14243

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,768,464

Proper Divisor Sum 5,754,928

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5013527 ← → #5013551

Radix Representation

Decimal	5013536
Binary	10011001000000000100000 (23 bits)
Octal	0o23100040
Hexadecimal	0x4C8020

Divisor Catalog (24)

1 2 4 8 11 16 22 32 44 88 176 352 14,243 28,486 56,972 113,944 156,673 227,888 313,346 455,776 626,692 1,253,384 2,506,768 5,013,536

Collatz Trajectory (82 steps to reach 1)

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

5,013,536 2,506,768 1,253,384 626,692 313,346 156,673 470,020 235,010 117,505 352,516 176,258 88,129 264,388 132,194 66,097 198,292 99,146 49,573 148,720 74,360 37,180 18,590 9,295 27,886 13,943 41,830 20,915 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148

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