401,358

2 × 3 × 151 × 443

401,358 factors as 2 × 3 × 151 × 443. Its 16 positive divisors give a proper-divisor sum of 408,498, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2 × 3 × 151 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 809,856

Proper Divisor Sum 408,498

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #401347 ← → #401371

Radix Representation

Decimal	401358
Binary	1100001111111001110 (19 bits)
Octal	0o1417716
Hexadecimal	0x61FCE

Divisor Catalog (16)

1 2 3 6 151 302 443 453 886 906 1,329 2,658 66,893 133,786 200,679 401,358

Collatz Trajectory (143 steps to reach 1)

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

401,358 200,679 602,038 301,019 903,058 451,529 1,354,588 677,294 338,647 1,015,942 507,971 1,523,914 761,957 2,285,872 1,142,936 571,468 285,734 142,867 428,602 214,301 642,904 321,452 160,726 80,363 241,090 120,545 361,636 180,818 90,409 271,228 135,614 67,807 203,422 101,711 305,134 152,567 457,702 228,851 686,554 343,277 1,029,832 514,916 257,458 128,729 386,188 193,094 96,547 289,642 144,821 434,464 217,232 108,616 54,308 27,154 13,577 40,732 20,366 10,183 30,550 15,275

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #401,357 Browse Full Index Next Integer #401,359 →