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Atlas › Integer Profiles › Node 55,521,952

55,521,952

25 × 19 × 53 × 1723
Abundant Even Composite

55,521,952 factors as 2^5 × 19 × 53 × 1723. Its 48 positive divisors give a proper-divisor sum of 61,779,008, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^5 × 19 × 53 × 1723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 117,300,960
Proper Divisor Sum 61,779,008
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #55521943 ← → #55521967

Radix Representation

Decimal 55521952
Binary 11010011110011001010100000 (26 bits)
Octal 0o323631240
Hexadecimal 0x34F32A0

Divisor Catalog (48)

1 2 4 8 16 19 32 38 53 76 106 152 212 304 424 608 848 1,007 1,696 1,723 2,014 3,446 4,028 6,892 8,056 13,784 16,112 27,568 32,224 32,737 55,136 65,474 91,319 130,948 182,638 261,896 365,276 523,792 730,552 1,047,584 1,461,104 1,735,061 2,922,208 3,470,122 6,940,244 13,880,488 27,760,976 55,521,952

Collatz Trajectory (101 steps to reach 1)

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

55,521,952 27,760,976 13,880,488 6,940,244 3,470,122 1,735,061 5,205,184 2,602,592 1,301,296 650,648 325,324 162,662 81,331 243,994 121,997 365,992 182,996 91,498 45,749 137,248 68,624 34,312 17,156 8,578 4,289 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636

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