4,288,972

2² × 53 × 20231

4,288,972 factors as 2^2 × 53 × 20231. Its 12 positive divisors give a proper-divisor sum of 3,358,724, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 20231

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,647,696

Proper Divisor Sum 3,358,724

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4288957 ← → #4288979

Radix Representation

Decimal	4288972
Binary	10000010111000111001100 (23 bits)
Octal	0o20270714
Hexadecimal	0x4171CC

Divisor Catalog (12)

1 2 4 53 106 212 20,231 40,462 80,924 1,072,243 2,144,486 4,288,972

Collatz Trajectory (74 steps to reach 1)

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

4,288,972 2,144,486 1,072,243 3,216,730 1,608,365 4,825,096 2,412,548 1,206,274 603,137 1,809,412 904,706 452,353 1,357,060 678,530 339,265 1,017,796 508,898 254,449 763,348 381,674 190,837 572,512 286,256 143,128 71,564 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22

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