1,506,424

2³ × 188303

Starting at 1,506,424, the Collatz iteration reaches 1 after 137 steps. The first transition is 753212; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 188303

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,824,560

Proper Divisor Sum 1,318,136

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1506413 ← → #1506433

Radix Representation

Decimal	1506424
Binary	101101111110001111000 (21 bits)
Octal	0o5576170
Hexadecimal	0x16FC78

Divisor Catalog (8)

1 2 4 8 188,303 376,606 753,212 1,506,424

Collatz Trajectory (137 steps to reach 1)

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

1,506,424 753,212 376,606 188,303 564,910 282,455 847,366 423,683 1,271,050 635,525 1,906,576 953,288 476,644 238,322 119,161 357,484 178,742 89,371 268,114 134,057 402,172 201,086 100,543 301,630 150,815 452,446 226,223 678,670 339,335 1,018,006 509,003 1,527,010 763,505 2,290,516 1,145,258 572,629 1,717,888 858,944 429,472 214,736 107,368 53,684 26,842 13,421 40,264 20,132 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346

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