6,133,465

5 × 13 × 127 × 743

6,133,465 factors as 5 × 13 × 127 × 743. Its 16 positive divisors give a proper-divisor sum of 1,866,023, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 5 × 13 × 127 × 743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,999,488

Proper Divisor Sum 1,866,023

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6133441 ← → #6133483

Radix Representation

Decimal	6133465
Binary	10111011001011011011001 (23 bits)
Octal	0o27313331
Hexadecimal	0x5D96D9

Divisor Catalog (16)

1 5 13 65 127 635 743 1,651 3,715 8,255 9,659 48,295 94,361 471,805 1,226,693 6,133,465

Collatz Trajectory (152 steps to reach 1)

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

6,133,465 18,400,396 9,200,198 4,600,099 13,800,298 6,900,149 20,700,448 10,350,224 5,175,112 2,587,556 1,293,778 646,889 1,940,668 970,334 485,167 1,455,502 727,751 2,183,254 1,091,627 3,274,882 1,637,441 4,912,324 2,456,162 1,228,081 3,684,244 1,842,122 921,061 2,763,184 1,381,592 690,796 345,398 172,699 518,098 259,049 777,148 388,574 194,287 582,862 291,431 874,294 437,147 1,311,442 655,721 1,967,164 983,582 491,791 1,475,374 737,687 2,213,062 1,106,531 3,319,594 1,659,797 4,979,392 2,489,696 1,244,848 622,424 311,212 155,606 77,803 233,410

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