401,315

5 × 80263

401,315 factors as 5 × 80263. Its 4 positive divisors give a proper-divisor sum of 80,269, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 5 × 80263

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 481,584

Proper Divisor Sum 80,269

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #401311 ← → #401321

Radix Representation

Decimal	401315
Binary	1100001111110100011 (19 bits)
Octal	0o1417643
Hexadecimal	0x61FA3

Divisor Catalog (4)

1 5 80,263 401,315

Collatz Trajectory (117 steps to reach 1)

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

401,315 1,203,946 601,973 1,805,920 902,960 451,480 225,740 112,870 56,435 169,306 84,653 253,960 126,980 63,490 31,745 95,236 47,618 23,809 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548

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