3,347,433

3³ × 123979

3,347,433 factors as 3^3 × 123979. Its 8 positive divisors give a proper-divisor sum of 1,611,767, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3^3 × 123979

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,959,200

Proper Divisor Sum 1,611,767

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3347431 ← → #3347447

Radix Representation

Decimal	3347433
Binary	1100110001001111101001 (22 bits)
Octal	0o14611751
Hexadecimal	0x3313E9

Divisor Catalog (8)

1 3 9 27 123,979 371,937 1,115,811 3,347,433

Collatz Trajectory (159 steps to reach 1)

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

3,347,433 10,042,300 5,021,150 2,510,575 7,531,726 3,765,863 11,297,590 5,648,795 16,946,386 8,473,193 25,419,580 12,709,790 6,354,895 19,064,686 9,532,343 28,597,030 14,298,515 42,895,546 21,447,773 64,343,320 32,171,660 16,085,830 8,042,915 24,128,746 12,064,373 36,193,120 18,096,560 9,048,280 4,524,140 2,262,070 1,131,035 3,393,106 1,696,553 5,089,660 2,544,830 1,272,415 3,817,246 1,908,623 5,725,870 2,862,935 8,588,806 4,294,403 12,883,210 6,441,605 19,324,816 9,662,408 4,831,204 2,415,602 1,207,801 3,623,404 1,811,702 905,851 2,717,554 1,358,777 4,076,332 2,038,166 1,019,083 3,057,250 1,528,625 4,585,876

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