1,109,381

7 × 13 × 73 × 167

Starting at 1,109,381, the Collatz iteration reaches 1 after 209 steps. The first transition is 3328144; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 73 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,392,384

Proper Divisor Sum 283,003

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1109363 ← → #1109387

Radix Representation

Decimal	1109381
Binary	100001110110110000101 (21 bits)
Octal	0o4166605
Hexadecimal	0x10ED85

Divisor Catalog (16)

1 7 13 73 91 167 511 949 1,169 2,171 6,643 12,191 15,197 85,337 158,483 1,109,381

Collatz Trajectory (209 steps to reach 1)

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

1,109,381 3,328,144 1,664,072 832,036 416,018 208,009 624,028 312,014 156,007 468,022 234,011 702,034 351,017 1,053,052 526,526 263,263 789,790 394,895 1,184,686 592,343 1,777,030 888,515 2,665,546 1,332,773 3,998,320 1,999,160 999,580 499,790 249,895 749,686 374,843 1,124,530 562,265 1,686,796 843,398 421,699 1,265,098 632,549 1,897,648 948,824 474,412 237,206 118,603 355,810 177,905 533,716 266,858 133,429 400,288 200,144 100,072 50,036 25,018 12,509 37,528 18,764 9,382 4,691 14,074 7,037

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