26,323,960

2³ × 5 × 13 × 23 × 31 × 71

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 23 × 31 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 69,672,960

Proper Divisor Sum 43,349,000

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #26323907 ← → #26323961

Radix Representation

Decimal	26323960
Binary	1100100011010101111111000 (25 bits)
Octal	0o144325770
Hexadecimal	0x191ABF8

Divisor Catalog (60 of 128)

1 2 4 5 8 10 13 20 23 26 31 40 46 52 62 65 71 92 104 115 124 130 142 155 184 230 248 260 284 299 310 355 403 460 520 568 598 620 710 713 806 920 923 1,196 1,240 1,420 1,426 1,495 1,612 1,633 1,846 2,015 2,201 2,392 2,840 2,852 2,990 3,224 3,266 3,565

Collatz Trajectory (172 steps to reach 1)

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

26,323,960 13,161,980 6,580,990 3,290,495 9,871,486 4,935,743 14,807,230 7,403,615 22,210,846 11,105,423 33,316,270 16,658,135 49,974,406 24,987,203 74,961,610 37,480,805 112,442,416 56,221,208 28,110,604 14,055,302 7,027,651 21,082,954 10,541,477 31,624,432 15,812,216 7,906,108 3,953,054 1,976,527 5,929,582 2,964,791 8,894,374 4,447,187 13,341,562 6,670,781 20,012,344 10,006,172 5,003,086 2,501,543 7,504,630 3,752,315 11,256,946 5,628,473 16,885,420 8,442,710 4,221,355 12,664,066 6,332,033 18,996,100 9,498,050 4,749,025 14,247,076 7,123,538 3,561,769 10,685,308 5,342,654 2,671,327 8,013,982 4,006,991 12,020,974 6,010,487

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