77,416,942

2 × 23 × 43 × 39139

77,416,942 factors as 2 × 23 × 43 × 39139. Its 16 positive divisors give a proper-divisor sum of 46,578,578, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 23 × 43 × 39139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 123,995,520

Proper Divisor Sum 46,578,578

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #77416931 ← → #77416949

Radix Representation

Decimal	77416942
Binary	100100111010100100111101110 (27 bits)
Octal	0o447244756
Hexadecimal	0x49D49EE

Divisor Catalog (16)

1 2 23 43 46 86 989 1,978 39,139 78,278 900,197 1,682,977 1,800,394 3,365,954 38,708,471 77,416,942

Collatz Trajectory (197 steps to reach 1)

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

77,416,942 38,708,471 116,125,414 58,062,707 174,188,122 87,094,061 261,282,184 130,641,092 65,320,546 32,660,273 97,980,820 48,990,410 24,495,205 73,485,616 36,742,808 18,371,404 9,185,702 4,592,851 13,778,554 6,889,277 20,667,832 10,333,916 5,166,958 2,583,479 7,750,438 3,875,219 11,625,658 5,812,829 17,438,488 8,719,244 4,359,622 2,179,811 6,539,434 3,269,717 9,809,152 4,904,576 2,452,288 1,226,144 613,072 306,536 153,268 76,634 38,317 114,952 57,476 28,738 14,369 43,108 21,554 10,777 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094 4,547 13,642

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