4,601,701

13² × 73 × 373

4,601,701 factors as 13^2 × 73 × 373. Its 12 positive divisors give a proper-divisor sum of 463,007, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 13^2 × 73 × 373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,064,708

Proper Divisor Sum 463,007

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #4601687 ← → #4601719

Radix Representation

Decimal	4601701
Binary	10001100011011101100101 (23 bits)
Octal	0o21433545
Hexadecimal	0x463765

Divisor Catalog (12)

1 13 73 169 373 949 4,849 12,337 27,229 63,037 353,977 4,601,701

Collatz Trajectory (193 steps to reach 1)

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

4,601,701 13,805,104 6,902,552 3,451,276 1,725,638 862,819 2,588,458 1,294,229 3,882,688 1,941,344 970,672 485,336 242,668 121,334 60,667 182,002 91,001 273,004 136,502 68,251 204,754 102,377 307,132 153,566 76,783 230,350 115,175 345,526 172,763 518,290 259,145 777,436 388,718 194,359 583,078 291,539 874,618 437,309 1,311,928 655,964 327,982 163,991 491,974 245,987 737,962 368,981 1,106,944 553,472 276,736 138,368 69,184 34,592 17,296 8,648 4,324 2,162 1,081 3,244 1,622 811

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