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Atlas › Integer Profiles › Node 28,802,424

28,802,424

23 × 3 × 7 × 173 × 991
Abundant Even Composite

28,802,424 factors as 2^3 × 3 × 7 × 173 × 991. Its 64 positive divisors give a proper-divisor sum of 54,049,416, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 173 × 991
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 82,851,840
Proper Divisor Sum 54,049,416
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #28802419 ← → #28802453

Radix Representation

Decimal 28802424
Binary 1101101110111110101111000 (25 bits)
Octal 0o155676570
Hexadecimal 0x1B77D78

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 991 1,038 1,211 1,384 1,982 2,076 2,422 2,973 3,633 3,964 4,152 4,844 5,946 6,937 7,266 7,928 9,688 11,892 13,874 14,532 20,811 23,784 27,748 29,064 41,622 55,496 83,244 166,488 171,443 342,886 514,329 685,772 1,028,658 1,200,101 1,371,544 2,057,316 2,400,202 3,600,303 4,114,632 4,800,404

Collatz Trajectory (118 steps to reach 1)

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

28,802,424 14,401,212 7,200,606 3,600,303 10,800,910 5,400,455 16,201,366 8,100,683 24,302,050 12,151,025 36,453,076 18,226,538 9,113,269 27,339,808 13,669,904 6,834,952 3,417,476 1,708,738 854,369 2,563,108 1,281,554 640,777 1,922,332 961,166 480,583 1,441,750 720,875 2,162,626 1,081,313 3,243,940 1,621,970 810,985 2,432,956 1,216,478 608,239 1,824,718 912,359 2,737,078 1,368,539 4,105,618 2,052,809 6,158,428 3,079,214 1,539,607 4,618,822 2,309,411 6,928,234 3,464,117 10,392,352 5,196,176 2,598,088 1,299,044 649,522 324,761 974,284 487,142 243,571 730,714 365,357 1,096,072

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