402,001

181 × 2221

For 402,001, the 4 positive divisors have a total of 404,404. Removing 402,001 leaves 2,403, which gives the deficient classification.

Prime Factor Structure

Factorization String 181 × 2221

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 404,404

Proper Divisor Sum 2,403

Digit Sum / Digital Root 7 (Root: 7)

Adjacent Primes #401993 ← → #402023

Radix Representation

Decimal	402001
Binary	1100010001001010001 (19 bits)
Octal	0o1421121
Hexadecimal	0x62251

Divisor Catalog (4)

1 181 2,221 402,001

Collatz Trajectory (174 steps to reach 1)

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

402,001 1,206,004 603,002 301,501 904,504 452,252 226,126 113,063 339,190 169,595 508,786 254,393 763,180 381,590 190,795 572,386 286,193 858,580 429,290 214,645 643,936 321,968 160,984 80,492 40,246 20,123 60,370 30,185 90,556 45,278 22,639 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942 64,471 193,414 96,707 290,122 145,061 435,184 217,592 108,796 54,398 27,199 81,598 40,799 122,398 61,199 183,598 91,799

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