837,328

2⁴ × 59 × 887

Starting at 837,328, the Collatz iteration reaches 1 after 157 steps. The first transition is 418664; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 59 × 887

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,651,680

Proper Divisor Sum 814,352

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #837313 ← → #837359

Radix Representation

Decimal	837328
Binary	11001100011011010000 (20 bits)
Octal	0o3143320
Hexadecimal	0xCC6D0

Divisor Catalog (20)

1 2 4 8 16 59 118 236 472 887 944 1,774 3,548 7,096 14,192 52,333 104,666 209,332 418,664 837,328

Collatz Trajectory (157 steps to reach 1)

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

837,328 418,664 209,332 104,666 52,333 157,000 78,500 39,250 19,625 58,876 29,438 14,719 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558 111,779 335,338 167,669 503,008 251,504 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870

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