1,151,136

2⁵ × 3² × 7 × 571

Starting at 1,151,136, the Collatz iteration reaches 1 after 85 steps. The first transition is 575568; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 571

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,747,744

Proper Divisor Sum 2,596,608

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1151113 ← → #1151141

Radix Representation

Decimal	1151136
Binary	100011001000010100000 (21 bits)
Octal	0o4310240
Hexadecimal	0x1190A0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 571 672 1,008 1,142 1,713 2,016 2,284 3,426 3,997 4,568 5,139 6,852 7,994 9,136 10,278 11,991 13,704 15,988 18,272 20,556 23,982 27,408 31,976 35,973 41,112 47,964 54,816

Collatz Trajectory (85 steps to reach 1)

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

1,151,136 575,568 287,784 143,892 71,946 35,973 107,920 53,960 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205

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