1,772,316

2² × 3² × 7 × 13 × 541

1,772,316 factors as 2^2 × 3^2 × 7 × 13 × 541. Its 72 positive divisors give a proper-divisor sum of 3,751,748, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 13 × 541

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 5,524,064

Proper Divisor Sum 3,751,748

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1772297 ← → #1772317

Radix Representation

Decimal	1772316
Binary	110110000101100011100 (21 bits)
Octal	0o6605434
Hexadecimal	0x1B0B1C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 541 546 819 1,082 1,092 1,623 1,638 2,164 3,246 3,276 3,787 4,869 6,492 7,033 7,574 9,738 11,361 14,066 15,148 19,476 21,099 22,722 28,132 34,083 42,198 45,444 49,231 63,297 68,166

Collatz Trajectory (83 steps to reach 1)

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

1,772,316 886,158 443,079 1,329,238 664,619 1,993,858 996,929 2,990,788 1,495,394 747,697 2,243,092 1,121,546 560,773 1,682,320 841,160 420,580 210,290 105,145 315,436 157,718 78,859 236,578 118,289 354,868 177,434 88,717 266,152 133,076 66,538 33,269 99,808 49,904 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876

More profiles

31,273 9,892,362 4,170,468 9,896,172 9,642,369 3,353,485 7,677,465 5,059,974 7,472,277 6,891,483 9,157,245 7,875,477 9,096,926 4,368,138 5,934,264 6,055,128

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