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Atlas › Integer Profiles › Node 3,484,580

3,484,580

22 × 5 × 11 × 47 × 337
Abundant Even Composite

3,484,580 factors as 2^2 × 5 × 11 × 47 × 337. Its 48 positive divisors give a proper-divisor sum of 4,692,316, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 47 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,176,896
Proper Divisor Sum 4,692,316
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3484577 ← → #3484583

Radix Representation

Decimal 3484580
Binary 1101010010101110100100 (22 bits)
Octal 0o15225644
Hexadecimal 0x352BA4

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 337 470 517 674 940 1,034 1,348 1,685 2,068 2,585 3,370 3,707 5,170 6,740 7,414 10,340 14,828 15,839 18,535 31,678 37,070 63,356 74,140 79,195 158,390 174,229 316,780 348,458 696,916 871,145 1,742,290 3,484,580

Collatz Trajectory (177 steps to reach 1)

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

3,484,580 1,742,290 871,145 2,613,436 1,306,718 653,359 1,960,078 980,039 2,940,118 1,470,059 4,410,178 2,205,089 6,615,268 3,307,634 1,653,817 4,961,452 2,480,726 1,240,363 3,721,090 1,860,545 5,581,636 2,790,818 1,395,409 4,186,228 2,093,114 1,046,557 3,139,672 1,569,836 784,918 392,459 1,177,378 588,689 1,766,068 883,034 441,517 1,324,552 662,276 331,138 165,569 496,708 248,354 124,177 372,532 186,266 93,133 279,400 139,700 69,850 34,925 104,776 52,388 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103

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