2,736,609

3 × 17 × 23 × 2333

2,736,609 factors as 3 × 17 × 23 × 2333. Its 16 positive divisors give a proper-divisor sum of 1,296,543, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3 × 17 × 23 × 2333

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,033,152

Proper Divisor Sum 1,296,543

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2736583 ← → #2736623

Radix Representation

Decimal	2736609
Binary	1010011100000111100001 (22 bits)
Octal	0o12340741
Hexadecimal	0x29C1E1

Divisor Catalog (16)

1 3 17 23 51 69 391 1,173 2,333 6,999 39,661 53,659 118,983 160,977 912,203 2,736,609

Collatz Trajectory (125 steps to reach 1)

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

2,736,609 8,209,828 4,104,914 2,052,457 6,157,372 3,078,686 1,539,343 4,618,030 2,309,015 6,927,046 3,463,523 10,390,570 5,195,285 15,585,856 7,792,928 3,896,464 1,948,232 974,116 487,058 243,529 730,588 365,294 182,647 547,942 273,971 821,914 410,957 1,232,872 616,436 308,218 154,109 462,328 231,164 115,582 57,791 173,374 86,687 260,062 130,031 390,094 195,047 585,142 292,571 877,714 438,857 1,316,572 658,286 329,143 987,430 493,715 1,481,146 740,573 2,221,720 1,110,860 555,430 277,715 833,146 416,573 1,249,720 624,860

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