8,174,145

3 × 5 × 7 × 77849

Starting at 8,174,145, the Collatz iteration reaches 1 after 230 steps. The first transition is 24522436; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 77849

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,947,200

Proper Divisor Sum 6,773,055

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8174113 ← → #8174167

Radix Representation

Decimal	8174145
Binary	11111001011101001000001 (23 bits)
Octal	0o37135101
Hexadecimal	0x7CBA41

Divisor Catalog (16)

1 3 5 7 15 21 35 105 77,849 233,547 389,245 544,943 1,167,735 1,634,829 2,724,715 8,174,145

Collatz Trajectory (230 steps to reach 1)

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

8,174,145 24,522,436 12,261,218 6,130,609 18,391,828 9,195,914 4,597,957 13,793,872 6,896,936 3,448,468 1,724,234 862,117 2,586,352 1,293,176 646,588 323,294 161,647 484,942 242,471 727,414 363,707 1,091,122 545,561 1,636,684 818,342 409,171 1,227,514 613,757 1,841,272 920,636 460,318 230,159 690,478 345,239 1,035,718 517,859 1,553,578 776,789 2,330,368 1,165,184 582,592 291,296 145,648 72,824 36,412 18,206 9,103 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642

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