2,115,148

2² × 7 × 75541

Starting at 2,115,148, the Collatz iteration reaches 1 after 73 steps. The first transition is 1057574; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 75541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,230,352

Proper Divisor Sum 2,115,204

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2115133 ← → #2115181

Radix Representation

Decimal	2115148
Binary	1000000100011001001100 (22 bits)
Octal	0o10043114
Hexadecimal	0x20464C

Divisor Catalog (12)

1 2 4 7 14 28 75,541 151,082 302,164 528,787 1,057,574 2,115,148

Collatz Trajectory (73 steps to reach 1)

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

2,115,148 1,057,574 528,787 1,586,362 793,181 2,379,544 1,189,772 594,886 297,443 892,330 446,165 1,338,496 669,248 334,624 167,312 83,656 41,828 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11

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