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Atlas › Integer Profiles › Node 3,758,328

3,758,328

23 × 32 × 7 × 7457
Abundant Even Composite

3,758,328 factors as 2^3 × 3^2 × 7 × 7457. Its 48 positive divisors give a proper-divisor sum of 7,876,152, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 7457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,634,480
Proper Divisor Sum 7,876,152
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3758317 ← → #3758341

Radix Representation

Decimal 3758328
Binary 1110010101100011111000 (22 bits)
Octal 0o16254370
Hexadecimal 0x3958F8

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 7,457 14,914 22,371 29,828 44,742 52,199 59,656 67,113 89,484 104,398 134,226 156,597 178,968 208,796 268,452 313,194 417,592 469,791 536,904 626,388 939,582 1,252,776 1,879,164 3,758,328

Collatz Trajectory (159 steps to reach 1)

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

3,758,328 1,879,164 939,582 469,791 1,409,374 704,687 2,114,062 1,057,031 3,171,094 1,585,547 4,756,642 2,378,321 7,134,964 3,567,482 1,783,741 5,351,224 2,675,612 1,337,806 668,903 2,006,710 1,003,355 3,010,066 1,505,033 4,515,100 2,257,550 1,128,775 3,386,326 1,693,163 5,079,490 2,539,745 7,619,236 3,809,618 1,904,809 5,714,428 2,857,214 1,428,607 4,285,822 2,142,911 6,428,734 3,214,367 9,643,102 4,821,551 14,464,654 7,232,327 21,696,982 10,848,491 32,545,474 16,272,737 48,818,212 24,409,106 12,204,553 36,613,660 18,306,830 9,153,415 27,460,246 13,730,123 41,190,370 20,595,185 61,785,556 30,892,778

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