1,538,867

11 × 19 × 37 × 199

Starting at 1,538,867, the Collatz iteration reaches 1 after 181 steps. The first transition is 4616602; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 19 × 37 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,824,000

Proper Divisor Sum 285,133

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1538851 ← → #1538879

Radix Representation

Decimal	1538867
Binary	101110111101100110011 (21 bits)
Octal	0o5675463
Hexadecimal	0x177B33

Divisor Catalog (16)

1 11 19 37 199 209 407 703 2,189 3,781 7,363 7,733 41,591 80,993 139,897 1,538,867

Collatz Trajectory (181 steps to reach 1)

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

1,538,867 4,616,602 2,308,301 6,924,904 3,462,452 1,731,226 865,613 2,596,840 1,298,420 649,210 324,605 973,816 486,908 243,454 121,727 365,182 182,591 547,774 273,887 821,662 410,831 1,232,494 616,247 1,848,742 924,371 2,773,114 1,386,557 4,159,672 2,079,836 1,039,918 519,959 1,559,878 779,939 2,339,818 1,169,909 3,509,728 1,754,864 877,432 438,716 219,358 109,679 329,038 164,519 493,558 246,779 740,338 370,169 1,110,508 555,254 277,627 832,882 416,441 1,249,324 624,662 312,331 936,994 468,497 1,405,492 702,746 351,373

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