4,971,406

2 × 11² × 20543

4,971,406 factors as 2 × 11^2 × 20543. Its 12 positive divisors give a proper-divisor sum of 3,225,650, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 20543

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,197,056

Proper Divisor Sum 3,225,650

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4971397 ← → #4971409

Radix Representation

Decimal	4971406
Binary	10010111101101110001110 (23 bits)
Octal	0o22755616
Hexadecimal	0x4BDB8E

Divisor Catalog (12)

1 2 11 22 121 242 20,543 41,086 225,973 451,946 2,485,703 4,971,406

Collatz Trajectory (113 steps to reach 1)

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

4,971,406 2,485,703 7,457,110 3,728,555 11,185,666 5,592,833 16,778,500 8,389,250 4,194,625 12,583,876 6,291,938 3,145,969 9,437,908 4,718,954 2,359,477 7,078,432 3,539,216 1,769,608 884,804 442,402 221,201 663,604 331,802 165,901 497,704 248,852 124,426 62,213 186,640 93,320 46,660 23,330 11,665 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264

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