6,148,472

2³ × 11 × 109 × 641

Starting at 6,148,472, the Collatz iteration reaches 1 after 108 steps. The first transition is 3074236; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 109 × 641

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,711,600

Proper Divisor Sum 6,563,128

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6148463 ← → #6148487

Radix Representation

Decimal	6148472
Binary	10111011101000101111000 (23 bits)
Octal	0o27350570
Hexadecimal	0x5DD178

Divisor Catalog (32)

1 2 4 8 11 22 44 88 109 218 436 641 872 1,199 1,282 2,398 2,564 4,796 5,128 7,051 9,592 14,102 28,204 56,408 69,869 139,738 279,476 558,952 768,559 1,537,118 3,074,236 6,148,472

Collatz Trajectory (108 steps to reach 1)

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

6,148,472 3,074,236 1,537,118 768,559 2,305,678 1,152,839 3,458,518 1,729,259 5,187,778 2,593,889 7,781,668 3,890,834 1,945,417 5,836,252 2,918,126 1,459,063 4,377,190 2,188,595 6,565,786 3,282,893 9,848,680 4,924,340 2,462,170 1,231,085 3,693,256 1,846,628 923,314 461,657 1,384,972 692,486 346,243 1,038,730 519,365 1,558,096 779,048 389,524 194,762 97,381 292,144 146,072 73,036 36,518 18,259 54,778 27,389 82,168 41,084 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004 78,002 39,001

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