1,500,814

2 × 7 × 107201

Starting at 1,500,814, the Collatz iteration reaches 1 after 362 steps. The first transition is 750407; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 107201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,572,848

Proper Divisor Sum 1,072,034

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1500799 ← → #1500817

Radix Representation

Decimal	1500814
Binary	101101110011010001110 (21 bits)
Octal	0o5563216
Hexadecimal	0x16E68E

Divisor Catalog (8)

1 2 7 14 107,201 214,402 750,407 1,500,814

Collatz Trajectory (362 steps to reach 1)

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

1,500,814 750,407 2,251,222 1,125,611 3,376,834 1,688,417 5,065,252 2,532,626 1,266,313 3,798,940 1,899,470 949,735 2,849,206 1,424,603 4,273,810 2,136,905 6,410,716 3,205,358 1,602,679 4,808,038 2,404,019 7,212,058 3,606,029 10,818,088 5,409,044 2,704,522 1,352,261 4,056,784 2,028,392 1,014,196 507,098 253,549 760,648 380,324 190,162 95,081 285,244 142,622 71,311 213,934 106,967 320,902 160,451 481,354 240,677 722,032 361,016 180,508 90,254 45,127 135,382 67,691 203,074 101,537 304,612 152,306 76,153 228,460 114,230 57,115

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