3,684,577

13 × 23 × 12323

For 3,684,577, the 8 positive divisors have a total of 4,140,864. Removing 3,684,577 leaves 456,287, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 23 × 12323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,140,864

Proper Divisor Sum 456,287

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3684559 ← → #3684587

Radix Representation

Decimal	3684577
Binary	1110000011100011100001 (22 bits)
Octal	0o16034341
Hexadecimal	0x3838E1

Divisor Catalog (8)

1 13 23 299 12,323 160,199 283,429 3,684,577

Collatz Trajectory (301 steps to reach 1)

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

3,684,577 11,053,732 5,526,866 2,763,433 8,290,300 4,145,150 2,072,575 6,217,726 3,108,863 9,326,590 4,663,295 13,989,886 6,994,943 20,984,830 10,492,415 31,477,246 15,738,623 47,215,870 23,607,935 70,823,806 35,411,903 106,235,710 53,117,855 159,353,566 79,676,783 239,030,350 119,515,175 358,545,526 179,272,763 537,818,290 268,909,145 806,727,436 403,363,718 201,681,859 605,045,578 302,522,789 907,568,368 453,784,184 226,892,092 113,446,046 56,723,023 170,169,070 85,084,535 255,253,606 127,626,803 382,880,410 191,440,205 574,320,616 287,160,308 143,580,154 71,790,077 215,370,232 107,685,116 53,842,558 26,921,279 80,763,838 40,381,919 121,145,758 60,572,879 181,718,638

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