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Atlas › Integer Profiles › Node 3,545,150

3,545,150

2 × 52 × 72 × 1447
Abundant Even Composite

3,545,150 factors as 2 × 5^2 × 7^2 × 1447. Its 36 positive divisors give a proper-divisor sum of 4,130,698, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7^2 × 1447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,675,848
Proper Divisor Sum 4,130,698
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3545131 ← → #3545161

Radix Representation

Decimal 3545150
Binary 1101100001100000111110 (22 bits)
Octal 0o15414076
Hexadecimal 0x36183E

Divisor Catalog (36)

1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1,225 1,447 2,450 2,894 7,235 10,129 14,470 20,258 36,175 50,645 70,903 72,350 101,290 141,806 253,225 354,515 506,450 709,030 1,772,575 3,545,150

Collatz Trajectory (128 steps to reach 1)

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

3,545,150 1,772,575 5,317,726 2,658,863 7,976,590 3,988,295 11,964,886 5,982,443 17,947,330 8,973,665 26,920,996 13,460,498 6,730,249 20,190,748 10,095,374 5,047,687 15,143,062 7,571,531 22,714,594 11,357,297 34,071,892 17,035,946 8,517,973 25,553,920 12,776,960 6,388,480 3,194,240 1,597,120 798,560 399,280 199,640 99,820 49,910 24,955 74,866 37,433 112,300 56,150 28,075 84,226 42,113 126,340 63,170 31,585 94,756 47,378 23,689 71,068 35,534 17,767 53,302 26,651 79,954 39,977 119,932 59,966 29,983 89,950 44,975 134,926

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