4,601,468

2² × 37 × 31091

4,601,468 factors as 2^2 × 37 × 31091. Its 12 positive divisors give a proper-divisor sum of 3,669,004, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 31091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,270,472

Proper Divisor Sum 3,669,004

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4601453 ← → #4601479

Radix Representation

Decimal	4601468
Binary	10001100011011001111100 (23 bits)
Octal	0o21433174
Hexadecimal	0x46367C

Divisor Catalog (12)

1 2 4 37 74 148 31,091 62,182 124,364 1,150,367 2,300,734 4,601,468

Collatz Trajectory (185 steps to reach 1)

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

4,601,468 2,300,734 1,150,367 3,451,102 1,725,551 5,176,654 2,588,327 7,764,982 3,882,491 11,647,474 5,823,737 17,471,212 8,735,606 4,367,803 13,103,410 6,551,705 19,655,116 9,827,558 4,913,779 14,741,338 7,370,669 22,112,008 11,056,004 5,528,002 2,764,001 8,292,004 4,146,002 2,073,001 6,219,004 3,109,502 1,554,751 4,664,254 2,332,127 6,996,382 3,498,191 10,494,574 5,247,287 15,741,862 7,870,931 23,612,794 11,806,397 35,419,192 17,709,596 8,854,798 4,427,399 13,282,198 6,641,099 19,923,298 9,961,649 29,884,948 14,942,474 7,471,237 22,413,712 11,206,856 5,603,428 2,801,714 1,400,857 4,202,572 2,101,286 1,050,643

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