5,746,398

2 × 3 × 7 × 19² × 379

Starting at 5,746,398, the Collatz iteration reaches 1 after 121 steps. The first transition is 2873199; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 19^2 × 379

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,898,880

Proper Divisor Sum 8,152,482

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #5746397 ← → #5746409

Radix Representation

Decimal	5746398
Binary	10101111010111011011110 (23 bits)
Octal	0o25727336
Hexadecimal	0x57AEDE

Divisor Catalog (48)

1 2 3 6 7 14 19 21 38 42 57 114 133 266 361 379 399 722 758 798 1,083 1,137 2,166 2,274 2,527 2,653 5,054 5,306 7,201 7,581 7,959 14,402 15,162 15,918 21,603 43,206 50,407 100,814 136,819 151,221 273,638 302,442 410,457 820,914 957,733 1,915,466 2,873,199 5,746,398

Collatz Trajectory (121 steps to reach 1)

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

5,746,398 2,873,199 8,619,598 4,309,799 12,929,398 6,464,699 19,394,098 9,697,049 29,091,148 14,545,574 7,272,787 21,818,362 10,909,181 32,727,544 16,363,772 8,181,886 4,090,943 12,272,830 6,136,415 18,409,246 9,204,623 27,613,870 13,806,935 41,420,806 20,710,403 62,131,210 31,065,605 93,196,816 46,598,408 23,299,204 11,649,602 5,824,801 17,474,404 8,737,202 4,368,601 13,105,804 6,552,902 3,276,451 9,829,354 4,914,677 14,744,032 7,372,016 3,686,008 1,843,004 921,502 460,751 1,382,254 691,127 2,073,382 1,036,691 3,110,074 1,555,037 4,665,112 2,332,556 1,166,278 583,139 1,749,418 874,709 2,624,128 1,312,064

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