5,758,290

2 × 3⁴ × 5 × 7109

Starting at 5,758,290, the Collatz iteration reaches 1 after 126 steps. The first transition is 2879145; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 7109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 15,485,580

Proper Divisor Sum 9,727,290

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5758283 ← → #5758297

Radix Representation

Decimal	5758290
Binary	10101111101110101010010 (23 bits)
Octal	0o25756522
Hexadecimal	0x57DD52

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 7,109 14,218 21,327 35,545 42,654 63,981 71,090 106,635 127,962 191,943 213,270 319,905 383,886 575,829 639,810 959,715 1,151,658 1,919,430 2,879,145 5,758,290

Collatz Trajectory (126 steps to reach 1)

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

5,758,290 2,879,145 8,637,436 4,318,718 2,159,359 6,478,078 3,239,039 9,717,118 4,858,559 14,575,678 7,287,839 21,863,518 10,931,759 32,795,278 16,397,639 49,192,918 24,596,459 73,789,378 36,894,689 110,684,068 55,342,034 27,671,017 83,013,052 41,506,526 20,753,263 62,259,790 31,129,895 93,389,686 46,694,843 140,084,530 70,042,265 210,126,796 105,063,398 52,531,699 157,595,098 78,797,549 236,392,648 118,196,324 59,098,162 29,549,081 88,647,244 44,323,622 22,161,811 66,485,434 33,242,717 99,728,152 49,864,076 24,932,038 12,466,019 37,398,058 18,699,029 56,097,088 28,048,544 14,024,272 7,012,136 3,506,068 1,753,034 876,517 2,629,552 1,314,776

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