17,760,220

2² × 5 × 888011

17,760,220 factors as 2^2 × 5 × 888011. Its 12 positive divisors give a proper-divisor sum of 19,536,284, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 888011

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 37,296,504

Proper Divisor Sum 19,536,284

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #17760203 ← → #17760233

Radix Representation

Decimal	17760220
Binary	1000011101111111111011100 (25 bits)
Octal	0o103577734
Hexadecimal	0x10EFFDC

Divisor Catalog (12)

1 2 4 5 10 20 888,011 1,776,022 3,552,044 4,440,055 8,880,110 17,760,220

Collatz Trajectory (169 steps to reach 1)

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

17,760,220 8,880,110 4,440,055 13,320,166 6,660,083 19,980,250 9,990,125 29,970,376 14,985,188 7,492,594 3,746,297 11,238,892 5,619,446 2,809,723 8,429,170 4,214,585 12,643,756 6,321,878 3,160,939 9,482,818 4,741,409 14,224,228 7,112,114 3,556,057 10,668,172 5,334,086 2,667,043 8,001,130 4,000,565 12,001,696 6,000,848 3,000,424 1,500,212 750,106 375,053 1,125,160 562,580 281,290 140,645 421,936 210,968 105,484 52,742 26,371 79,114 39,557 118,672 59,336 29,668 14,834 7,417 22,252 11,126 5,563 16,690 8,345 25,036 12,518 6,259 18,778

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