46,791,592

2³ × 1949 × 3001

46,791,592 factors as 2^3 × 1949 × 3001. Its 16 positive divisors give a proper-divisor sum of 41,016,908, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 1949 × 3001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 87,808,500

Proper Divisor Sum 41,016,908

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #46791559 ← → #46791593

Radix Representation

Decimal	46791592
Binary	10110010011111101110101000 (26 bits)
Octal	0o262375650
Hexadecimal	0x2C9FBA8

Divisor Catalog (16)

1 2 4 8 1,949 3,001 3,898 6,002 7,796 12,004 15,592 24,008 5,848,949 11,697,898 23,395,796 46,791,592

Collatz Trajectory (186 steps to reach 1)

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

46,791,592 23,395,796 11,697,898 5,848,949 17,546,848 8,773,424 4,386,712 2,193,356 1,096,678 548,339 1,645,018 822,509 2,467,528 1,233,764 616,882 308,441 925,324 462,662 231,331 693,994 346,997 1,040,992 520,496 260,248 130,124 65,062 32,531 97,594 48,797 146,392 73,196 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245

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