1,472,968

2³ × 7 × 29 × 907

Starting at 1,472,968, the Collatz iteration reaches 1 after 75 steps. The first transition is 736484; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 29 × 907

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,268,800

Proper Divisor Sum 1,795,832

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1472963 ← → #1472971

Radix Representation

Decimal	1472968
Binary	101100111100111001000 (21 bits)
Octal	0o5474710
Hexadecimal	0x1679C8

Divisor Catalog (32)

1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 907 1,624 1,814 3,628 6,349 7,256 12,698 25,396 26,303 50,792 52,606 105,212 184,121 210,424 368,242 736,484 1,472,968

Collatz Trajectory (75 steps to reach 1)

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

1,472,968 736,484 368,242 184,121 552,364 276,182 138,091 414,274 207,137 621,412 310,706 155,353 466,060 233,030 116,515 349,546 174,773 524,320 262,160 131,080 65,540 32,770 16,385 49,156 24,578 12,289 36,868 18,434 9,217 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44

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