50,801,460

2² × 3 × 5 × 41 × 107 × 193

50,801,460 factors as 2^2 × 3 × 5 × 41 × 107 × 193. Its 96 positive divisors give a proper-divisor sum of 97,035,852, so this integer is abundant. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 41 × 107 × 193

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 147,837,312

Proper Divisor Sum 97,035,852

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #50801449 ← → #50801461

Radix Representation

Decimal	50801460
Binary	11000001110010101100110100 (26 bits)
Octal	0o301625464
Hexadecimal	0x3072B34

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 15 20 30 41 60 82 107 123 164 193 205 214 246 321 386 410 428 492 535 579 615 642 772 820 965 1,070 1,158 1,230 1,284 1,605 1,930 2,140 2,316 2,460 2,895 3,210 3,860 4,387 5,790 6,420 7,913 8,774 11,580 13,161 15,826 17,548 20,651 21,935 23,739 26,322 31,652 39,565

Collatz Trajectory (274 steps to reach 1)

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

50,801,460 25,400,730 12,700,365 38,101,096 19,050,548 9,525,274 4,762,637 14,287,912 7,143,956 3,571,978 1,785,989 5,357,968 2,678,984 1,339,492 669,746 334,873 1,004,620 502,310 251,155 753,466 376,733 1,130,200 565,100 282,550 141,275 423,826 211,913 635,740 317,870 158,935 476,806 238,403 715,210 357,605 1,072,816 536,408 268,204 134,102 67,051 201,154 100,577 301,732 150,866 75,433 226,300 113,150 56,575 169,726 84,863 254,590 127,295 381,886 190,943 572,830 286,415 859,246 429,623 1,288,870 644,435 1,933,306

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