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Atlas › Integer Profiles › Node 5,484,100

5,484,100

22 × 52 × 173 × 317
Abundant Even Composite

5,484,100 factors as 2^2 × 5^2 × 173 × 317. Its 36 positive divisors give a proper-divisor sum of 6,522,944, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 173 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,007,044
Proper Divisor Sum 6,522,944
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5484079 ← → #5484131

Radix Representation

Decimal 5484100
Binary 10100111010111001000100 (23 bits)
Octal 0o24727104
Hexadecimal 0x53AE44

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 173 317 346 634 692 865 1,268 1,585 1,730 3,170 3,460 4,325 6,340 7,925 8,650 15,850 17,300 31,700 54,841 109,682 219,364 274,205 548,410 1,096,820 1,371,025 2,742,050 5,484,100

Collatz Trajectory (108 steps to reach 1)

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

5,484,100 2,742,050 1,371,025 4,113,076 2,056,538 1,028,269 3,084,808 1,542,404 771,202 385,601 1,156,804 578,402 289,201 867,604 433,802 216,901 650,704 325,352 162,676 81,338 40,669 122,008 61,004 30,502 15,251 45,754 22,877 68,632 34,316 17,158 8,579 25,738 12,869 38,608 19,304 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

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