3,676,801

37 × 43 × 2311

3,676,801 factors as 37 × 43 × 2311. Its 8 positive divisors give a proper-divisor sum of 188,863, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 37 × 43 × 2311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,865,664

Proper Divisor Sum 188,863

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3676793 ← → #3676819

Radix Representation

Decimal	3676801
Binary	1110000001101010000001 (22 bits)
Octal	0o16015201
Hexadecimal	0x381A81

Divisor Catalog (8)

1 37 43 1,591 2,311 85,507 99,373 3,676,801

Collatz Trajectory (97 steps to reach 1)

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

3,676,801 11,030,404 5,515,202 2,757,601 8,272,804 4,136,402 2,068,201 6,204,604 3,102,302 1,551,151 4,653,454 2,326,727 6,980,182 3,490,091 10,470,274 5,235,137 15,705,412 7,852,706 3,926,353 11,779,060 5,889,530 2,944,765 8,834,296 4,417,148 2,208,574 1,104,287 3,312,862 1,656,431 4,969,294 2,484,647 7,453,942 3,726,971 11,180,914 5,590,457 16,771,372 8,385,686 4,192,843 12,578,530 6,289,265 18,867,796 9,433,898 4,716,949 14,150,848 7,075,424 3,537,712 1,768,856 884,428 442,214 221,107 663,322 331,661 994,984 497,492 248,746 124,373 373,120 186,560 93,280 46,640 23,320

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