2,407,302

2 × 3² × 17 × 7867

Starting at 2,407,302, the Collatz iteration reaches 1 after 236 steps. The first transition is 1203651; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 7867

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,523,336

Proper Divisor Sum 3,116,034

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2407297 ← → #2407309

Radix Representation

Decimal	2407302
Binary	1001001011101110000110 (22 bits)
Octal	0o11135606
Hexadecimal	0x24BB86

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 7,867 15,734 23,601 47,202 70,803 133,739 141,606 267,478 401,217 802,434 1,203,651 2,407,302

Collatz Trajectory (236 steps to reach 1)

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

2,407,302 1,203,651 3,610,954 1,805,477 5,416,432 2,708,216 1,354,108 677,054 338,527 1,015,582 507,791 1,523,374 761,687 2,285,062 1,142,531 3,427,594 1,713,797 5,141,392 2,570,696 1,285,348 642,674 321,337 964,012 482,006 241,003 723,010 361,505 1,084,516 542,258 271,129 813,388 406,694 203,347 610,042 305,021 915,064 457,532 228,766 114,383 343,150 171,575 514,726 257,363 772,090 386,045 1,158,136 579,068 289,534 144,767 434,302 217,151 651,454 325,727 977,182 488,591 1,465,774 732,887 2,198,662 1,099,331 3,297,994

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