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Atlas › Integer Profiles › Node 6,208,630

6,208,630

2 × 5 × 19 × 41 × 797
Deficient Even Composite

6,208,630 factors as 2 × 5 × 19 × 41 × 797. Its 32 positive divisors give a proper-divisor sum of 5,857,130, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 41 × 797
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,065,760
Proper Divisor Sum 5,857,130
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6208627 ← → #6208633

Radix Representation

Decimal 6208630
Binary 10111101011110001110110 (23 bits)
Octal 0o27536166
Hexadecimal 0x5EBC76

Divisor Catalog (32)

1 2 5 10 19 38 41 82 95 190 205 410 779 797 1,558 1,594 3,895 3,985 7,790 7,970 15,143 30,286 32,677 65,354 75,715 151,430 163,385 326,770 620,863 1,241,726 3,104,315 6,208,630

Collatz Trajectory (165 steps to reach 1)

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

6,208,630 3,104,315 9,312,946 4,656,473 13,969,420 6,984,710 3,492,355 10,477,066 5,238,533 15,715,600 7,857,800 3,928,900 1,964,450 982,225 2,946,676 1,473,338 736,669 2,210,008 1,105,004 552,502 276,251 828,754 414,377 1,243,132 621,566 310,783 932,350 466,175 1,398,526 699,263 2,097,790 1,048,895 3,146,686 1,573,343 4,720,030 2,360,015 7,080,046 3,540,023 10,620,070 5,310,035 15,930,106 7,965,053 23,895,160 11,947,580 5,973,790 2,986,895 8,960,686 4,480,343 13,441,030 6,720,515 20,161,546 10,080,773 30,242,320 15,121,160 7,560,580 3,780,290 1,890,145 5,670,436 2,835,218 1,417,609

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