50,003,584

2⁷ × 390653

50,003,584 factors as 2^7 × 390653. Its 16 positive divisors give a proper-divisor sum of 49,613,186, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^7 × 390653

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 99,616,770

Proper Divisor Sum 49,613,186

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #50003581 ← → #50003659

Radix Representation

Decimal	50003584
Binary	10111110101111111010000000 (26 bits)
Octal	0o276577200
Hexadecimal	0x2FAFE80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 390,653 781,306 1,562,612 3,125,224 6,250,448 12,500,896 25,001,792 50,003,584

Collatz Trajectory (155 steps to reach 1)

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

50,003,584 25,001,792 12,500,896 6,250,448 3,125,224 1,562,612 781,306 390,653 1,171,960 585,980 292,990 146,495 439,486 219,743 659,230 329,615 988,846 494,423 1,483,270 741,635 2,224,906 1,112,453 3,337,360 1,668,680 834,340 417,170 208,585 625,756 312,878 156,439 469,318 234,659 703,978 351,989 1,055,968 527,984 263,992 131,996 65,998 32,999 98,998 49,499 148,498 74,249 222,748 111,374 55,687 167,062 83,531 250,594 125,297 375,892 187,946 93,973 281,920 140,960 70,480 35,240 17,620 8,810

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