2,026,527

3 × 37 × 18257

Starting at 2,026,527, the Collatz iteration reaches 1 after 135 steps. The first transition is 6079582; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 18257

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,775,216

Proper Divisor Sum 748,689

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2026523 ← → #2026537

Radix Representation

Decimal	2026527
Binary	111101110110000011111 (21 bits)
Octal	0o7566037
Hexadecimal	0x1EEC1F

Divisor Catalog (8)

1 3 37 111 18,257 54,771 675,509 2,026,527

Collatz Trajectory (135 steps to reach 1)

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

2,026,527 6,079,582 3,039,791 9,119,374 4,559,687 13,679,062 6,839,531 20,518,594 10,259,297 30,777,892 15,388,946 7,694,473 23,083,420 11,541,710 5,770,855 17,312,566 8,656,283 25,968,850 12,984,425 38,953,276 19,476,638 9,738,319 29,214,958 14,607,479 43,822,438 21,911,219 65,733,658 32,866,829 98,600,488 49,300,244 24,650,122 12,325,061 36,975,184 18,487,592 9,243,796 4,621,898 2,310,949 6,932,848 3,466,424 1,733,212 866,606 433,303 1,299,910 649,955 1,949,866 974,933 2,924,800 1,462,400 731,200 365,600 182,800 91,400 45,700 22,850 11,425 34,276 17,138 8,569 25,708 12,854

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