90,742

2 × 59 × 769

Starting at 90,742, the Collatz iteration reaches 1 after 84 steps. The first transition is 45371; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 59 × 769

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 138,600

Proper Divisor Sum 47,858

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #90731 ← → #90749

Radix Representation

Decimal	90742
Binary	10110001001110110 (17 bits)
Octal	0o261166
Hexadecimal	0x16276

Divisor Catalog (8)

1 2 59 118 769 1,538 45,371 90,742

Collatz Trajectory (84 steps to reach 1)

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

90,742 45,371 136,114 68,057 204,172 102,086 51,043 153,130 76,565 229,696 114,848 57,424 28,712 14,356 7,178 3,589 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98

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