λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,128,936

4,128,936

23 × 3 × 72 × 3511
Abundant Even Composite

4,128,936 factors as 2^3 × 3 × 7^2 × 3511. Its 48 positive divisors give a proper-divisor sum of 7,882,104, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 3511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,011,040
Proper Divisor Sum 7,882,104
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4128931 ← → #4128959

Radix Representation

Decimal 4128936
Binary 1111110000000010101000 (22 bits)
Octal 0o17600250
Hexadecimal 0x3F00A8

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1,176 3,511 7,022 10,533 14,044 21,066 24,577 28,088 42,132 49,154 73,731 84,264 98,308 147,462 172,039 196,616 294,924 344,078 516,117 589,848 688,156 1,032,234 1,376,312 2,064,468 4,128,936

Collatz Trajectory (105 steps to reach 1)

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

4,128,936 2,064,468 1,032,234 516,117 1,548,352 774,176 387,088 193,544 96,772 48,386 24,193 72,580 36,290 18,145 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,128,935 Browse Full Index Next Integer #4,128,937 →