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Atlas › Integer Profiles › Node 3,676,941

3,676,941

33 × 23 × 31 × 191
Deficient Odd Composite

3,676,941 factors as 3^3 × 23 × 31 × 191. Its 32 positive divisors give a proper-divisor sum of 2,221,299, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3^3 × 23 × 31 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,898,240
Proper Divisor Sum 2,221,299
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3676931 ← → #3676957

Radix Representation

Decimal 3676941
Binary 1110000001101100001101 (22 bits)
Octal 0o16015415
Hexadecimal 0x381B0D

Divisor Catalog (32)

1 3 9 23 27 31 69 93 191 207 279 573 621 713 837 1,719 2,139 4,393 5,157 5,921 6,417 13,179 17,763 19,251 39,537 53,289 118,611 136,183 159,867 408,549 1,225,647 3,676,941

Collatz Trajectory (172 steps to reach 1)

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

3,676,941 11,030,824 5,515,412 2,757,706 1,378,853 4,136,560 2,068,280 1,034,140 517,070 258,535 775,606 387,803 1,163,410 581,705 1,745,116 872,558 436,279 1,308,838 654,419 1,963,258 981,629 2,944,888 1,472,444 736,222 368,111 1,104,334 552,167 1,656,502 828,251 2,484,754 1,242,377 3,727,132 1,863,566 931,783 2,795,350 1,397,675 4,193,026 2,096,513 6,289,540 3,144,770 1,572,385 4,717,156 2,358,578 1,179,289 3,537,868 1,768,934 884,467 2,653,402 1,326,701 3,980,104 1,990,052 995,026 497,513 1,492,540 746,270 373,135 1,119,406 559,703 1,679,110 839,555

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