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Atlas › Integer Profiles › Node 3,674,048

3,674,048

26 × 7 × 59 × 139
Abundant Even Composite

3,674,048 factors as 2^6 × 7 × 59 × 139. Its 56 positive divisors give a proper-divisor sum of 4,860,352, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 59 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 8,534,400
Proper Divisor Sum 4,860,352
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3674029 ← → #3674071

Radix Representation

Decimal 3674048
Binary 1110000000111111000000 (22 bits)
Octal 0o16007700
Hexadecimal 0x380FC0

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 56 59 64 112 118 139 224 236 278 413 448 472 556 826 944 973 1,112 1,652 1,888 1,946 2,224 3,304 3,776 3,892 4,448 6,608 7,784 8,201 8,896 13,216 15,568 16,402 26,432 31,136 32,804 57,407 62,272 65,608 114,814 131,216 229,628 262,432 459,256 524,864 918,512 1,837,024 3,674,048

Collatz Trajectory (203 steps to reach 1)

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

3,674,048 1,837,024 918,512 459,256 229,628 114,814 57,407 172,222 86,111 258,334 129,167 387,502 193,751 581,254 290,627 871,882 435,941 1,307,824 653,912 326,956 163,478 81,739 245,218 122,609 367,828 183,914 91,957 275,872 137,936 68,968 34,484 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327

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