3,616,272

2⁴ × 3³ × 11 × 761

3,616,272 has the prime decomposition 2^4 × 3^3 × 11 × 761. Its 4 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 11 × 761

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 11,338,560

Proper Divisor Sum 7,722,288

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3616259 ← → #3616297

Radix Representation

Decimal	3616272
Binary	1101110010111000010000 (22 bits)
Octal	0o15627020
Hexadecimal	0x372E10

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 761 792 1,188 1,522 1,584 2,283 2,376 3,044 4,566 4,752 6,088 6,849 8,371 9,132 12,176 13,698 16,742 18,264 20,547 25,113 27,396 33,484 36,528 41,094 50,226

Collatz Trajectory (265 steps to reach 1)

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

3,616,272 1,808,136 904,068 452,034 226,017 678,052 339,026 169,513 508,540 254,270 127,135 381,406 190,703 572,110 286,055 858,166 429,083 1,287,250 643,625 1,930,876 965,438 482,719 1,448,158 724,079 2,172,238 1,086,119 3,258,358 1,629,179 4,887,538 2,443,769 7,331,308 3,665,654 1,832,827 5,498,482 2,749,241 8,247,724 4,123,862 2,061,931 6,185,794 3,092,897 9,278,692 4,639,346 2,319,673 6,959,020 3,479,510 1,739,755 5,219,266 2,609,633 7,828,900 3,914,450 1,957,225 5,871,676 2,935,838 1,467,919 4,403,758 2,201,879 6,605,638 3,302,819 9,908,458 4,954,229

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