1,220,840

2³ × 5 × 23 × 1327

1,220,840 factors as 2^3 × 5 × 23 × 1327. Its 32 positive divisors give a proper-divisor sum of 1,647,640, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 1327

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,868,480

Proper Divisor Sum 1,647,640

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1220839 ← → #1220893

Radix Representation

Decimal	1220840
Binary	100101010000011101000 (21 bits)
Octal	0o4520350
Hexadecimal	0x12A0E8

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1,327 2,654 5,308 6,635 10,616 13,270 26,540 30,521 53,080 61,042 122,084 152,605 244,168 305,210 610,420 1,220,840

Collatz Trajectory (59 steps to reach 1)

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

1,220,840 610,420 305,210 152,605 457,816 228,908 114,454 57,227 171,682 85,841 257,524 128,762 64,381 193,144 96,572 48,286 24,143 72,430 36,215 108,646 54,323 162,970 81,485 244,456 122,228 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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