2,415,714

2 × 3 × 7 × 113 × 509

Starting at 2,415,714, the Collatz iteration reaches 1 after 205 steps. The first transition is 1207857; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 113 × 509

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,581,440

Proper Divisor Sum 3,165,726

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2415703 ← → #2415719

Radix Representation

Decimal	2415714
Binary	1001001101110001100010 (22 bits)
Octal	0o11156142
Hexadecimal	0x24DC62

Divisor Catalog (32)

1 2 3 6 7 14 21 42 113 226 339 509 678 791 1,018 1,527 1,582 2,373 3,054 3,563 4,746 7,126 10,689 21,378 57,517 115,034 172,551 345,102 402,619 805,238 1,207,857 2,415,714

Collatz Trajectory (205 steps to reach 1)

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

2,415,714 1,207,857 3,623,572 1,811,786 905,893 2,717,680 1,358,840 679,420 339,710 169,855 509,566 254,783 764,350 382,175 1,146,526 573,263 1,719,790 859,895 2,579,686 1,289,843 3,869,530 1,934,765 5,804,296 2,902,148 1,451,074 725,537 2,176,612 1,088,306 544,153 1,632,460 816,230 408,115 1,224,346 612,173 1,836,520 918,260 459,130 229,565 688,696 344,348 172,174 86,087 258,262 129,131 387,394 193,697 581,092 290,546 145,273 435,820 217,910 108,955 326,866 163,433 490,300 245,150 122,575 367,726 183,863 551,590

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