2,950,311

3 × 7 × 13 × 101 × 107

Starting at 2,950,311, the Collatz iteration reaches 1 after 257 steps. The first transition is 8850934; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 101 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,935,168

Proper Divisor Sum 1,984,857

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2950307 ← → #2950361

Radix Representation

Decimal	2950311
Binary	1011010000010010100111 (22 bits)
Octal	0o13202247
Hexadecimal	0x2D04A7

Divisor Catalog (32)

1 3 7 13 21 39 91 101 107 273 303 321 707 749 1,313 1,391 2,121 2,247 3,939 4,173 9,191 9,737 10,807 27,573 29,211 32,421 75,649 140,491 226,947 421,473 983,437 2,950,311

Collatz Trajectory (257 steps to reach 1)

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

2,950,311 8,850,934 4,425,467 13,276,402 6,638,201 19,914,604 9,957,302 4,978,651 14,935,954 7,467,977 22,403,932 11,201,966 5,600,983 16,802,950 8,401,475 25,204,426 12,602,213 37,806,640 18,903,320 9,451,660 4,725,830 2,362,915 7,088,746 3,544,373 10,633,120 5,316,560 2,658,280 1,329,140 664,570 332,285 996,856 498,428 249,214 124,607 373,822 186,911 560,734 280,367 841,102 420,551 1,261,654 630,827 1,892,482 946,241 2,838,724 1,419,362 709,681 2,129,044 1,064,522 532,261 1,596,784 798,392 399,196 199,598 99,799 299,398 149,699 449,098 224,549 673,648

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