1,015,827

3 × 338609

Starting at 1,015,827, the Collatz iteration reaches 1 after 82 steps. The first transition is 3047482; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 338609

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,354,440

Proper Divisor Sum 338,613

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1015823 ← → #1015829

Radix Representation

Decimal	1015827
Binary	11111000000000010011 (20 bits)
Octal	0o3700023
Hexadecimal	0xF8013

Divisor Catalog (4)

1 3 338,609 1,015,827

Collatz Trajectory (82 steps to reach 1)

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

1,015,827 3,047,482 1,523,741 4,571,224 2,285,612 1,142,806 571,403 1,714,210 857,105 2,571,316 1,285,658 642,829 1,928,488 964,244 482,122 241,061 723,184 361,592 180,796 90,398 45,199 135,598 67,799 203,398 101,699 305,098 152,549 457,648 228,824 114,412 57,206 28,603 85,810 42,905 128,716 64,358 32,179 96,538 48,269 144,808 72,404 36,202 18,101 54,304 27,152 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075

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