4,213,071

3² × 23 × 20353

4,213,071 factors as 3^2 × 23 × 20353. Its 12 positive divisors give a proper-divisor sum of 2,137,377, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 20353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,350,448

Proper Divisor Sum 2,137,377

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4213063 ← → #4213073

Radix Representation

Decimal	4213071
Binary	10000000100100101001111 (23 bits)
Octal	0o20044517
Hexadecimal	0x40494F

Divisor Catalog (12)

1 3 9 23 69 207 20,353 61,059 183,177 468,119 1,404,357 4,213,071

Collatz Trajectory (167 steps to reach 1)

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

4,213,071 12,639,214 6,319,607 18,958,822 9,479,411 28,438,234 14,219,117 42,657,352 21,328,676 10,664,338 5,332,169 15,996,508 7,998,254 3,999,127 11,997,382 5,998,691 17,996,074 8,998,037 26,994,112 13,497,056 6,748,528 3,374,264 1,687,132 843,566 421,783 1,265,350 632,675 1,898,026 949,013 2,847,040 1,423,520 711,760 355,880 177,940 88,970 44,485 133,456 66,728 33,364 16,682 8,341 25,024 12,512 6,256 3,128 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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