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Atlas › Integer Profiles › Node 3,577,932

3,577,932

22 × 37 × 409
Abundant Even Composite

3,577,932 factors as 2^2 × 3^7 × 409. Its 48 positive divisors give a proper-divisor sum of 5,835,668, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^2 × 3^7 × 409
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,413,600
Proper Divisor Sum 5,835,668
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3577921 ← → #3577957

Radix Representation

Decimal 3577932
Binary 1101101001100001001100 (22 bits)
Octal 0o15514114
Hexadecimal 0x36984C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 409 486 729 818 972 1,227 1,458 1,636 2,187 2,454 2,916 3,681 4,374 4,908 7,362 8,748 11,043 14,724 22,086 33,129 44,172 66,258 99,387 132,516 198,774 298,161 397,548 596,322 894,483 1,192,644 1,788,966 3,577,932

Collatz Trajectory (97 steps to reach 1)

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

3,577,932 1,788,966 894,483 2,683,450 1,341,725 4,025,176 2,012,588 1,006,294 503,147 1,509,442 754,721 2,264,164 1,132,082 566,041 1,698,124 849,062 424,531 1,273,594 636,797 1,910,392 955,196 477,598 238,799 716,398 358,199 1,074,598 537,299 1,611,898 805,949 2,417,848 1,208,924 604,462 302,231 906,694 453,347 1,360,042 680,021 2,040,064 1,020,032 510,016 255,008 127,504 63,752 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784

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