9,710,538

2 × 3 × 947 × 1709

Starting at 9,710,538, the Collatz iteration reaches 1 after 300 steps. The first transition is 4855269; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 947 × 1709

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,452,960

Proper Divisor Sum 9,742,422

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9710537 ← → #9710551

Radix Representation

Decimal	9710538
Binary	100101000010101111001010 (24 bits)
Octal	0o45025712
Hexadecimal	0x942BCA

Divisor Catalog (16)

1 2 3 6 947 1,709 1,894 2,841 3,418 5,127 5,682 10,254 1,618,423 3,236,846 4,855,269 9,710,538

Collatz Trajectory (300 steps to reach 1)

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

9,710,538 4,855,269 14,565,808 7,282,904 3,641,452 1,820,726 910,363 2,731,090 1,365,545 4,096,636 2,048,318 1,024,159 3,072,478 1,536,239 4,608,718 2,304,359 6,913,078 3,456,539 10,369,618 5,184,809 15,554,428 7,777,214 3,888,607 11,665,822 5,832,911 17,498,734 8,749,367 26,248,102 13,124,051 39,372,154 19,686,077 59,058,232 29,529,116 14,764,558 7,382,279 22,146,838 11,073,419 33,220,258 16,610,129 49,830,388 24,915,194 12,457,597 37,372,792 18,686,396 9,343,198 4,671,599 14,014,798 7,007,399 21,022,198 10,511,099 31,533,298 15,766,649 47,299,948 23,649,974 11,824,987 35,474,962 17,737,481 53,212,444 26,606,222 13,303,111

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