402,182

2 × 11 × 101 × 181

For 402,182, the 16 positive divisors have a total of 668,304. Removing 402,182 leaves 266,122, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 11 × 101 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 668,304

Proper Divisor Sum 266,122

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #402139 ← → #402197

Radix Representation

Decimal	402182
Binary	1100010001100000110 (19 bits)
Octal	0o1421406
Hexadecimal	0x62306

Divisor Catalog (16)

1 2 11 22 101 181 202 362 1,111 1,991 2,222 3,982 18,281 36,562 201,091 402,182

Collatz Trajectory (112 steps to reach 1)

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

402,182 201,091 603,274 301,637 904,912 452,456 226,228 113,114 56,557 169,672 84,836 42,418 21,209 63,628 31,814 15,907 47,722 23,861 71,584 35,792 17,896 8,948 4,474 2,237 6,712 3,356 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427

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