28,164,400

2⁴ × 5² × 11 × 37 × 173

28,164,400 factors as 2^4 × 5^2 × 11 × 37 × 173. Its 120 positive divisors give a proper-divisor sum of 48,085,184, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 11 × 37 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 76,249,584

Proper Divisor Sum 48,085,184

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #28164361 ← → #28164413

Radix Representation

Decimal	28164400
Binary	1101011011100000100110000 (25 bits)
Octal	0o153340460
Hexadecimal	0x1ADC130

Divisor Catalog (60 of 120)

1 2 4 5 8 10 11 16 20 22 25 37 40 44 50 55 74 80 88 100 110 148 173 176 185 200 220 275 296 346 370 400 407 440 550 592 692 740 814 865 880 925 1,100 1,384 1,480 1,628 1,730 1,850 1,903 2,035 2,200 2,768 2,960 3,256 3,460 3,700 3,806 4,070 4,325 4,400

Collatz Trajectory (100 steps to reach 1)

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

28,164,400 14,082,200 7,041,100 3,520,550 1,760,275 5,280,826 2,640,413 7,921,240 3,960,620 1,980,310 990,155 2,970,466 1,485,233 4,455,700 2,227,850 1,113,925 3,341,776 1,670,888 835,444 417,722 208,861 626,584 313,292 156,646 78,323 234,970 117,485 352,456 176,228 88,114 44,057 132,172 66,086 33,043 99,130 49,565 148,696 74,348 37,174 18,587 55,762 27,881 83,644 41,822 20,911 62,734 31,367 94,102 47,051 141,154 70,577 211,732 105,866 52,933 158,800 79,400 39,700 19,850 9,925 29,776

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