4,133,320

2³ × 5 × 103333

4,133,320 factors as 2^3 × 5 × 103333. Its 16 positive divisors give a proper-divisor sum of 5,166,740, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 103333

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,300,060

Proper Divisor Sum 5,166,740

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #4133293 ← → #4133369

Radix Representation

Decimal	4133320
Binary	1111110001000111001000 (22 bits)
Octal	0o17610710
Hexadecimal	0x3F11C8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 103,333 206,666 413,332 516,665 826,664 1,033,330 2,066,660 4,133,320

Collatz Trajectory (167 steps to reach 1)

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

4,133,320 2,066,660 1,033,330 516,665 1,549,996 774,998 387,499 1,162,498 581,249 1,743,748 871,874 435,937 1,307,812 653,906 326,953 980,860 490,430 245,215 735,646 367,823 1,103,470 551,735 1,655,206 827,603 2,482,810 1,241,405 3,724,216 1,862,108 931,054 465,527 1,396,582 698,291 2,094,874 1,047,437 3,142,312 1,571,156 785,578 392,789 1,178,368 589,184 294,592 147,296 73,648 36,824 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224

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