1,472,008

2³ × 37 × 4973

Starting at 1,472,008, the Collatz iteration reaches 1 after 150 steps. The first transition is 736004; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 37 × 4973

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,835,180

Proper Divisor Sum 1,363,172

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1471937 ← → #1472017

Radix Representation

Decimal	1472008
Binary	101100111011000001000 (21 bits)
Octal	0o5473010
Hexadecimal	0x167608

Divisor Catalog (16)

1 2 4 8 37 74 148 296 4,973 9,946 19,892 39,784 184,001 368,002 736,004 1,472,008

Collatz Trajectory (150 steps to reach 1)

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

1,472,008 736,004 368,002 184,001 552,004 276,002 138,001 414,004 207,002 103,501 310,504 155,252 77,626 38,813 116,440 58,220 29,110 14,555 43,666 21,833 65,500 32,750 16,375 49,126 24,563 73,690 36,845 110,536 55,268 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341

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