4,071,496

2³ × 11 × 13 × 3559

Starting at 4,071,496, the Collatz iteration reaches 1 after 136 steps. The first transition is 2035748; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 3559

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,971,200

Proper Divisor Sum 4,899,704

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4071479 ← → #4071497

Radix Representation

Decimal	4071496
Binary	1111100010000001001000 (22 bits)
Octal	0o17420110
Hexadecimal	0x3E2048

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1,144 3,559 7,118 14,236 28,472 39,149 46,267 78,298 92,534 156,596 185,068 313,192 370,136 508,937 1,017,874 2,035,748 4,071,496

Collatz Trajectory (136 steps to reach 1)

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

4,071,496 2,035,748 1,017,874 508,937 1,526,812 763,406 381,703 1,145,110 572,555 1,717,666 858,833 2,576,500 1,288,250 644,125 1,932,376 966,188 483,094 241,547 724,642 362,321 1,086,964 543,482 271,741 815,224 407,612 203,806 101,903 305,710 152,855 458,566 229,283 687,850 343,925 1,031,776 515,888 257,944 128,972 64,486 32,243 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306

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