87,378

2 × 3 × 14563

Starting at 87,378, the Collatz iteration reaches 1 after 133 steps. The first transition is 43689; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 14563

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 174,768

Proper Divisor Sum 87,390

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #87359 ← → #87383

Radix Representation

Decimal	87378
Binary	10101010101010010 (17 bits)
Octal	0o252522
Hexadecimal	0x15552

Divisor Catalog (8)

1 2 3 6 14,563 29,126 43,689 87,378

Collatz Trajectory (133 steps to reach 1)

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

87,378 43,689 131,068 65,534 32,767 98,302 49,151 147,454 73,727 221,182 110,591 331,774 165,887 497,662 248,831 746,494 373,247 1,119,742 559,871 1,679,614 839,807 2,519,422 1,259,711 3,779,134 1,889,567 5,668,702 2,834,351 8,503,054 4,251,527 12,754,582 6,377,291 19,131,874 9,565,937 28,697,812 14,348,906 7,174,453 21,523,360 10,761,680 5,380,840 2,690,420 1,345,210 672,605 2,017,816 1,008,908 504,454 252,227 756,682 378,341 1,135,024 567,512 283,756 141,878 70,939 212,818 106,409 319,228 159,614 79,807 239,422 119,711

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