46,973,626

2 × 7 × 3355259

46,973,626 factors as 2 × 7 × 3355259. Its 8 positive divisors give a proper-divisor sum of 33,552,614, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 7 × 3355259

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 80,526,240

Proper Divisor Sum 33,552,614

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #46973623 ← → #46973629

Radix Representation

Decimal	46973626
Binary	10110011001100001010111010 (26 bits)
Octal	0o263141272
Hexadecimal	0x2CCC2BA

Divisor Catalog (8)

1 2 7 14 3,355,259 6,710,518 23,486,813 46,973,626

Collatz Trajectory (217 steps to reach 1)

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

46,973,626 23,486,813 70,460,440 35,230,220 17,615,110 8,807,555 26,422,666 13,211,333 39,634,000 19,817,000 9,908,500 4,954,250 2,477,125 7,431,376 3,715,688 1,857,844 928,922 464,461 1,393,384 696,692 348,346 174,173 522,520 261,260 130,630 65,315 195,946 97,973 293,920 146,960 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279

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