2,641,535

5 × 13 × 40639

Starting at 2,641,535, the Collatz iteration reaches 1 after 200 steps. The first transition is 7924606; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 40639

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,413,760

Proper Divisor Sum 772,225

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2641531 ← → #2641543

Radix Representation

Decimal	2641535
Binary	1010000100111001111111 (22 bits)
Octal	0o12047177
Hexadecimal	0x284E7F

Divisor Catalog (8)

1 5 13 65 40,639 203,195 528,307 2,641,535

Collatz Trajectory (200 steps to reach 1)

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

2,641,535 7,924,606 3,962,303 11,886,910 5,943,455 17,830,366 8,915,183 26,745,550 13,372,775 40,118,326 20,059,163 60,177,490 30,088,745 90,266,236 45,133,118 22,566,559 67,699,678 33,849,839 101,549,518 50,774,759 152,324,278 76,162,139 228,486,418 114,243,209 342,729,628 171,364,814 85,682,407 257,047,222 128,523,611 385,570,834 192,785,417 578,356,252 289,178,126 144,589,063 433,767,190 216,883,595 650,650,786 325,325,393 975,976,180 487,988,090 243,994,045 731,982,136 365,991,068 182,995,534 91,497,767 274,493,302 137,246,651 411,739,954 205,869,977 617,609,932 308,804,966 154,402,483 463,207,450 231,603,725 694,811,176 347,405,588 173,702,794 86,851,397 260,554,192 130,277,096

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