4,987,827

3² × 13 × 89 × 479

Starting at 4,987,827, the Collatz iteration reaches 1 after 206 steps. The first transition is 14963482; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 89 × 479

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,862,400

Proper Divisor Sum 2,874,573

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #4987819 ← → #4987847

Radix Representation

Decimal	4987827
Binary	10011000001101110110011 (23 bits)
Octal	0o23015663
Hexadecimal	0x4C1BB3

Divisor Catalog (24)

1 3 9 13 39 89 117 267 479 801 1,157 1,437 3,471 4,311 6,227 10,413 18,681 42,631 56,043 127,893 383,679 554,203 1,662,609 4,987,827

Collatz Trajectory (206 steps to reach 1)

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

4,987,827 14,963,482 7,481,741 22,445,224 11,222,612 5,611,306 2,805,653 8,416,960 4,208,480 2,104,240 1,052,120 526,060 263,030 131,515 394,546 197,273 591,820 295,910 147,955 443,866 221,933 665,800 332,900 166,450 83,225 249,676 124,838 62,419 187,258 93,629 280,888 140,444 70,222 35,111 105,334 52,667 158,002 79,001 237,004 118,502 59,251 177,754 88,877 266,632 133,316 66,658 33,329 99,988 49,994 24,997 74,992 37,496 18,748 9,374 4,687 14,062 7,031 21,094 10,547 31,642

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