357,826

2 × 7 × 61 × 419

Starting at 357,826, the Collatz iteration reaches 1 after 241 steps. The first transition is 178913; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 61 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 624,960

Proper Divisor Sum 267,134

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #357823 ← → #357829

Radix Representation

Decimal	357826
Binary	1010111010111000010 (19 bits)
Octal	0o1272702
Hexadecimal	0x575C2

Divisor Catalog (16)

1 2 7 14 61 122 419 427 838 854 2,933 5,866 25,559 51,118 178,913 357,826

Collatz Trajectory (241 steps to reach 1)

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

357,826 178,913 536,740 268,370 134,185 402,556 201,278 100,639 301,918 150,959 452,878 226,439 679,318 339,659 1,018,978 509,489 1,528,468 764,234 382,117 1,146,352 573,176 286,588 143,294 71,647 214,942 107,471 322,414 161,207 483,622 241,811 725,434 362,717 1,088,152 544,076 272,038 136,019 408,058 204,029 612,088 306,044 153,022 76,511 229,534 114,767 344,302 172,151 516,454 258,227 774,682 387,341 1,162,024 581,012 290,506 145,253 435,760 217,880 108,940 54,470 27,235 81,706

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