3,967,376

2⁴ × 7 × 35423

3,967,376 factors as 2^4 × 7 × 35423. Its 20 positive divisors give a proper-divisor sum of 4,817,776, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 35423

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,785,152

Proper Divisor Sum 4,817,776

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3967373 ← → #3967417

Radix Representation

Decimal	3967376
Binary	1111001000100110010000 (22 bits)
Octal	0o17104620
Hexadecimal	0x3C8990

Divisor Catalog (20)

Collatz Trajectory (185 steps to reach 1)

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

3,967,376 1,983,688 991,844 495,922 247,961 743,884 371,942 185,971 557,914 278,957 836,872 418,436 209,218 104,609 313,828 156,914 78,457 235,372 117,686 58,843 176,530 88,265 264,796 132,398 66,199 198,598 99,299 297,898 148,949 446,848 223,424 111,712 55,856 27,928 13,964 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,967,375 Browse Full Index Next Integer #3,967,377 →