318,201

3 × 13 × 41 × 199

For 318,201, the 16 positive divisors have a total of 470,400. Removing 318,201 leaves 152,199, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 41 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 470,400

Proper Divisor Sum 152,199

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #318191 ← → #318203

Radix Representation

Decimal	318201
Binary	1001101101011111001 (19 bits)
Octal	0o1155371
Hexadecimal	0x4DAF9

Divisor Catalog (16)

1 3 13 39 41 123 199 533 597 1,599 2,587 7,761 8,159 24,477 106,067 318,201

Collatz Trajectory (277 steps to reach 1)

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

318,201 954,604 477,302 238,651 715,954 357,977 1,073,932 536,966 268,483 805,450 402,725 1,208,176 604,088 302,044 151,022 75,511 226,534 113,267 339,802 169,901 509,704 254,852 127,426 63,713 191,140 95,570 47,785 143,356 71,678 35,839 107,518 53,759 161,278 80,639 241,918 120,959 362,878 181,439 544,318 272,159 816,478 408,239 1,224,718 612,359 1,837,078 918,539 2,755,618 1,377,809 4,133,428 2,066,714 1,033,357 3,100,072 1,550,036 775,018 387,509 1,162,528 581,264 290,632 145,316 72,658

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