927,442

2 × 37 × 83 × 151

Starting at 927,442, the Collatz iteration reaches 1 after 201 steps. The first transition is 463721; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 83 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,455,552

Proper Divisor Sum 528,110

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #927439 ← → #927491

Radix Representation

Decimal	927442
Binary	11100010011011010010 (20 bits)
Octal	0o3423322
Hexadecimal	0xE26D2

Divisor Catalog (16)

1 2 37 74 83 151 166 302 3,071 5,587 6,142 11,174 12,533 25,066 463,721 927,442

Collatz Trajectory (201 steps to reach 1)

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

927,442 463,721 1,391,164 695,582 347,791 1,043,374 521,687 1,565,062 782,531 2,347,594 1,173,797 3,521,392 1,760,696 880,348 440,174 220,087 660,262 330,131 990,394 495,197 1,485,592 742,796 371,398 185,699 557,098 278,549 835,648 417,824 208,912 104,456 52,228 26,114 13,057 39,172 19,586 9,793 29,380 14,690 7,345 22,036 11,018 5,509 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982

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