1,417,174

2 × 11 × 37 × 1741

Starting at 1,417,174, the Collatz iteration reaches 1 after 137 steps. The first transition is 708587; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 37 × 1741

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,383,056

Proper Divisor Sum 965,882

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1417159 ← → #1417183

Radix Representation

Decimal	1417174
Binary	101011001111111010110 (21 bits)
Octal	0o5317726
Hexadecimal	0x159FD6

Divisor Catalog (16)

1 2 11 22 37 74 407 814 1,741 3,482 19,151 38,302 64,417 128,834 708,587 1,417,174

Collatz Trajectory (137 steps to reach 1)

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

1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422 1,345,211 4,035,634 2,017,817 6,053,452 3,026,726 1,513,363 4,540,090 2,270,045 6,810,136 3,405,068 1,702,534 851,267 2,553,802 1,276,901 3,830,704 1,915,352 957,676 478,838 239,419 718,258 359,129 1,077,388 538,694 269,347 808,042 404,021 1,212,064 606,032 303,016 151,508 75,754 37,877 113,632 56,816 28,408 14,204 7,102 3,551 10,654 5,327 15,982 7,991 23,974 11,987 35,962 17,981 53,944

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