3,673,647

3³ × 359 × 379

3,673,647 is odd and not a perfect square. Its factorization is 3^3 × 359 × 379 and its 16 divisors sum to 5,472,000.

Prime Factor Structure

Factorization String 3^3 × 359 × 379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,472,000

Proper Divisor Sum 1,798,353

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3673639 ← → #3673651

Radix Representation

Decimal	3673647
Binary	1110000000111000101111 (22 bits)
Octal	0o16007057
Hexadecimal	0x380E2F

Divisor Catalog (16)

1 3 9 27 359 379 1,077 1,137 3,231 3,411 9,693 10,233 136,061 408,183 1,224,549 3,673,647

Collatz Trajectory (177 steps to reach 1)

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

3,673,647 11,020,942 5,510,471 16,531,414 8,265,707 24,797,122 12,398,561 37,195,684 18,597,842 9,298,921 27,896,764 13,948,382 6,974,191 20,922,574 10,461,287 31,383,862 15,691,931 47,075,794 23,537,897 70,613,692 35,306,846 17,653,423 52,960,270 26,480,135 79,440,406 39,720,203 119,160,610 59,580,305 178,740,916 89,370,458 44,685,229 134,055,688 67,027,844 33,513,922 16,756,961 50,270,884 25,135,442 12,567,721 37,703,164 18,851,582 9,425,791 28,277,374 14,138,687 42,416,062 21,208,031 63,624,094 31,812,047 95,436,142 47,718,071 143,154,214 71,577,107 214,731,322 107,365,661 322,096,984 161,048,492 80,524,246 40,262,123 120,786,370 60,393,185 181,179,556

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