1,546,164

2² × 3² × 29 × 1481

1,546,164 factors as 2^2 × 3^2 × 29 × 1481. Its 36 positive divisors give a proper-divisor sum of 2,499,696, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 1481

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 4,045,860

Proper Divisor Sum 2,499,696

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1546157 ← → #1546189

Radix Representation

Decimal	1546164
Binary	101111001011110110100 (21 bits)
Octal	0o5713664
Hexadecimal	0x1797B4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1,044 1,481 2,962 4,443 5,924 8,886 13,329 17,772 26,658 42,949 53,316 85,898 128,847 171,796 257,694 386,541 515,388 773,082 1,546,164

Collatz Trajectory (88 steps to reach 1)

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

1,546,164 773,082 386,541 1,159,624 579,812 289,906 144,953 434,860 217,430 108,715 326,146 163,073 489,220 244,610 122,305 366,916 183,458 91,729 275,188 137,594 68,797 206,392 103,196 51,598 25,799 77,398 38,699 116,098 58,049 174,148 87,074 43,537 130,612 65,306 32,653 97,960 48,980 24,490 12,245 36,736 18,368 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640

More profiles

9,385,677 920,915 7,834,253 5,072,203 5,549,028 1,484,974 6,823,737 5,913,241 256,891 1,031,223 6,651,621 2,110,294 636,847 6,427,827 2,149,339 2,410,404

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