1,537,910

2 × 5 × 11² × 31 × 41

Starting at 1,537,910, the Collatz iteration reaches 1 after 75 steps. The first transition is 768955; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 31 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,217,536

Proper Divisor Sum 1,679,626

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1537897 ← → #1537933

Radix Representation

Decimal	1537910
Binary	101110111011101110110 (21 bits)
Octal	0o5673566
Hexadecimal	0x177776

Divisor Catalog (48)

1 2 5 10 11 22 31 41 55 62 82 110 121 155 205 242 310 341 410 451 605 682 902 1,210 1,271 1,705 2,255 2,542 3,410 3,751 4,510 4,961 6,355 7,502 9,922 12,710 13,981 18,755 24,805 27,962 37,510 49,610 69,905 139,810 153,791 307,582 768,955 1,537,910

Collatz Trajectory (75 steps to reach 1)

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

1,537,910 768,955 2,306,866 1,153,433 3,460,300 1,730,150 865,075 2,595,226 1,297,613 3,892,840 1,946,420 973,210 486,605 1,459,816 729,908 364,954 182,477 547,432 273,716 136,858 68,429 205,288 102,644 51,322 25,661 76,984 38,492 19,246 9,623 28,870 14,435 43,306 21,653 64,960 32,480 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272

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