4,133,055

3 × 5 × 61 × 4517

4,133,055 factors as 3 × 5 × 61 × 4517. Its 16 positive divisors give a proper-divisor sum of 2,589,729, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3 × 5 × 61 × 4517

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,722,784

Proper Divisor Sum 2,589,729

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4133047 ← → #4133069

Radix Representation

Decimal	4133055
Binary	1111110001000010111111 (22 bits)
Octal	0o17610277
Hexadecimal	0x3F10BF

Divisor Catalog (16)

1 3 5 15 61 183 305 915 4,517 13,551 22,585 67,755 275,537 826,611 1,377,685 4,133,055

Collatz Trajectory (198 steps to reach 1)

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

4,133,055 12,399,166 6,199,583 18,598,750 9,299,375 27,898,126 13,949,063 41,847,190 20,923,595 62,770,786 31,385,393 94,156,180 47,078,090 23,539,045 70,617,136 35,308,568 17,654,284 8,827,142 4,413,571 13,240,714 6,620,357 19,861,072 9,930,536 4,965,268 2,482,634 1,241,317 3,723,952 1,861,976 930,988 465,494 232,747 698,242 349,121 1,047,364 523,682 261,841 785,524 392,762 196,381 589,144 294,572 147,286 73,643 220,930 110,465 331,396 165,698 82,849 248,548 124,274 62,137 186,412 93,206 46,603 139,810 69,905 209,716 104,858 52,429 157,288

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