464,002

2 × 7 × 11 × 23 × 131

464,002 has the prime decomposition 2 × 7 × 11 × 23 × 131. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 23 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 912,384

Proper Divisor Sum 448,382

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #463993 ← → #464003

Radix Representation

Decimal	464002
Binary	1110001010010000010 (19 bits)
Octal	0o1612202
Hexadecimal	0x71482

Divisor Catalog (32)

1 2 7 11 14 22 23 46 77 131 154 161 253 262 322 506 917 1,441 1,771 1,834 2,882 3,013 3,542 6,026 10,087 20,174 21,091 33,143 42,182 66,286 232,001 464,002

Collatz Trajectory (76 steps to reach 1)

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

464,002 232,001 696,004 348,002 174,001 522,004 261,002 130,501 391,504 195,752 97,876 48,938 24,469 73,408 36,704 18,352 9,176 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

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