400,180

2² × 5 × 11 × 17 × 107

For 400,180, the 48 positive divisors have a total of 979,776. Removing 400,180 leaves 579,596, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 17 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 979,776

Proper Divisor Sum 579,596

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #400157 ← → #400187

Radix Representation

Decimal	400180
Binary	1100001101100110100 (19 bits)
Octal	0o1415464
Hexadecimal	0x61B34

Divisor Catalog (48)

1 2 4 5 10 11 17 20 22 34 44 55 68 85 107 110 170 187 214 220 340 374 428 535 748 935 1,070 1,177 1,819 1,870 2,140 2,354 3,638 3,740 4,708 5,885 7,276 9,095 11,770 18,190 20,009 23,540 36,380 40,018 80,036 100,045 200,090 400,180

Collatz Trajectory (161 steps to reach 1)

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

400,180 200,090 100,045 300,136 150,068 75,034 37,517 112,552 56,276 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430

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