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Atlas › Integer Profiles › Node 5,489,892

5,489,892

22 × 32 × 73 × 2089
Abundant Even Composite

5,489,892 factors as 2^2 × 3^2 × 73 × 2089. Its 36 positive divisors give a proper-divisor sum of 8,584,168, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 73 × 2089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,074,060
Proper Divisor Sum 8,584,168
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5489881 ← → #5489921

Radix Representation

Decimal 5489892
Binary 10100111100010011100100 (23 bits)
Octal 0o24742344
Hexadecimal 0x53C4E4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1,314 2,089 2,628 4,178 6,267 8,356 12,534 18,801 25,068 37,602 75,204 152,497 304,994 457,491 609,988 914,982 1,372,473 1,829,964 2,744,946 5,489,892

Collatz Trajectory (139 steps to reach 1)

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

5,489,892 2,744,946 1,372,473 4,117,420 2,058,710 1,029,355 3,088,066 1,544,033 4,632,100 2,316,050 1,158,025 3,474,076 1,737,038 868,519 2,605,558 1,302,779 3,908,338 1,954,169 5,862,508 2,931,254 1,465,627 4,396,882 2,198,441 6,595,324 3,297,662 1,648,831 4,946,494 2,473,247 7,419,742 3,709,871 11,129,614 5,564,807 16,694,422 8,347,211 25,041,634 12,520,817 37,562,452 18,781,226 9,390,613 28,171,840 14,085,920 7,042,960 3,521,480 1,760,740 880,370 440,185 1,320,556 660,278 330,139 990,418 495,209 1,485,628 742,814 371,407 1,114,222 557,111 1,671,334 835,667 2,507,002 1,253,501

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