2,143,526

2 × 7 × 11 × 31 × 449

Starting at 2,143,526, the Collatz iteration reaches 1 after 179 steps. The first transition is 1071763; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 31 × 449

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,147,200

Proper Divisor Sum 2,003,674

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2143517 ← → #2143541

Radix Representation

Decimal	2143526
Binary	1000001011010100100110 (22 bits)
Octal	0o10132446
Hexadecimal	0x20B526

Divisor Catalog (32)

1 2 7 11 14 22 31 62 77 154 217 341 434 449 682 898 2,387 3,143 4,774 4,939 6,286 9,878 13,919 27,838 34,573 69,146 97,433 153,109 194,866 306,218 1,071,763 2,143,526

Collatz Trajectory (179 steps to reach 1)

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

2,143,526 1,071,763 3,215,290 1,607,645 4,822,936 2,411,468 1,205,734 602,867 1,808,602 904,301 2,712,904 1,356,452 678,226 339,113 1,017,340 508,670 254,335 763,006 381,503 1,144,510 572,255 1,716,766 858,383 2,575,150 1,287,575 3,862,726 1,931,363 5,794,090 2,897,045 8,691,136 4,345,568 2,172,784 1,086,392 543,196 271,598 135,799 407,398 203,699 611,098 305,549 916,648 458,324 229,162 114,581 343,744 171,872 85,936 42,968 21,484 10,742 5,371 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598

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