4,257,616

2⁴ × 11 × 17 × 1423

4,257,616 factors as 2^4 × 11 × 17 × 1423. Its 40 positive divisors give a proper-divisor sum of 5,277,488, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 17 × 1423

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,535,104

Proper Divisor Sum 5,277,488

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4257613 ← → #4257641

Radix Representation

Decimal	4257616
Binary	10000001111011101010000 (23 bits)
Octal	0o20173520
Hexadecimal	0x40F750

Divisor Catalog (40)

Collatz Trajectory (211 steps to reach 1)

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

4,257,616 2,128,808 1,064,404 532,202 266,101 798,304 399,152 199,576 99,788 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,257,615 Browse Full Index Next Integer #4,257,617 →