3,673,064

2³ × 37 × 12409

3,673,064 factors as 2^3 × 37 × 12409. Its 16 positive divisors give a proper-divisor sum of 3,400,636, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 12409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,073,700

Proper Divisor Sum 3,400,636

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3673039 ← → #3673069

Radix Representation

Decimal	3673064
Binary	1110000000101111101000 (22 bits)
Octal	0o16005750
Hexadecimal	0x380BE8

Divisor Catalog (16)

1 2 4 8 37 74 148 296 12,409 24,818 49,636 99,272 459,133 918,266 1,836,532 3,673,064

Collatz Trajectory (172 steps to reach 1)

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

3,673,064 1,836,532 918,266 459,133 1,377,400 688,700 344,350 172,175 516,526 258,263 774,790 387,395 1,162,186 581,093 1,743,280 871,640 435,820 217,910 108,955 326,866 163,433 490,300 245,150 122,575 367,726 183,863 551,590 275,795 827,386 413,693 1,241,080 620,540 310,270 155,135 465,406 232,703 698,110 349,055 1,047,166 523,583 1,570,750 785,375 2,356,126 1,178,063 3,534,190 1,767,095 5,301,286 2,650,643 7,951,930 3,975,965 11,927,896 5,963,948 2,981,974 1,490,987 4,472,962 2,236,481 6,709,444 3,354,722 1,677,361 5,032,084

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