402,002

2 × 19 × 71 × 149

402,002 has digital root 8. The neighboring primes are 401993 and 402023; its proper-divisor sum differs from the starting integer by -156,004.

Prime Factor Structure

Factorization String 2 × 19 × 71 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 648,000

Proper Divisor Sum 245,998

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #401993 ← → #402023

Radix Representation

Decimal	402002
Binary	1100010001001010010 (19 bits)
Octal	0o1421122
Hexadecimal	0x62252

Divisor Catalog (16)

1 2 19 38 71 142 149 298 1,349 2,698 2,831 5,662 10,579 21,158 201,001 402,002

Collatz Trajectory (174 steps to reach 1)

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

402,002 201,001 603,004 301,502 150,751 452,254 226,127 678,382 339,191 1,017,574 508,787 1,526,362 763,181 2,289,544 1,144,772 572,386 286,193 858,580 429,290 214,645 643,936 321,968 160,984 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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