138,927

3 × 46309

Starting at 138,927, the Collatz iteration reaches 1 after 113 steps. The first transition is 416782; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 46309

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 185,240

Proper Divisor Sum 46,313

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #138923 ← → #138937

Radix Representation

Decimal	138927
Binary	100001111010101111 (18 bits)
Octal	0o417257
Hexadecimal	0x21EAF

Divisor Catalog (4)

1 3 46,309 138,927

Collatz Trajectory (113 steps to reach 1)

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

138,927 416,782 208,391 625,174 312,587 937,762 468,881 1,406,644 703,322 351,661 1,054,984 527,492 263,746 131,873 395,620 197,810 98,905 296,716 148,358 74,179 222,538 111,269 333,808 166,904 83,452 41,726 20,863 62,590 31,295 93,886 46,943 140,830 70,415 211,246 105,623 316,870 158,435 475,306 237,653 712,960 356,480 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291

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