1,727,928

2³ × 3² × 103 × 233

1,727,928 factors as 2^3 × 3^2 × 103 × 233. Its 48 positive divisors give a proper-divisor sum of 3,017,592, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 103 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,745,520

Proper Divisor Sum 3,017,592

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1727923 ← → #1727939

Radix Representation

Decimal	1727928
Binary	110100101110110111000 (21 bits)
Octal	0o6456670
Hexadecimal	0x1A5DB8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 103 206 233 309 412 466 618 699 824 927 932 1,236 1,398 1,854 1,864 2,097 2,472 2,796 3,708 4,194 5,592 7,416 8,388 16,776 23,999 47,998 71,997 95,996 143,994 191,992 215,991 287,988 431,982 575,976 863,964 1,727,928

Collatz Trajectory (189 steps to reach 1)

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

1,727,928 863,964 431,982 215,991 647,974 323,987 971,962 485,981 1,457,944 728,972 364,486 182,243 546,730 273,365 820,096 410,048 205,024 102,512 51,256 25,628 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829

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