5,156,144

2⁴ × 7 × 19 × 2423

Starting at 5,156,144, the Collatz iteration reaches 1 after 100 steps. The first transition is 2578072; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 2423

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,023,040

Proper Divisor Sum 6,866,896

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5156141 ← → #5156153

Radix Representation

Decimal	5156144
Binary	10011101010110100110000 (23 bits)
Octal	0o23526460
Hexadecimal	0x4EAD30

Divisor Catalog (40)

1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1,064 2,128 2,423 4,846 9,692 16,961 19,384 33,922 38,768 46,037 67,844 92,074 135,688 184,148 271,376 322,259 368,296 644,518 736,592 1,289,036 2,578,072 5,156,144

Collatz Trajectory (100 steps to reach 1)

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

5,156,144 2,578,072 1,289,036 644,518 322,259 966,778 483,389 1,450,168 725,084 362,542 181,271 543,814 271,907 815,722 407,861 1,223,584 611,792 305,896 152,948 76,474 38,237 114,712 57,356 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911

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