4,697,952

2⁵ × 3 × 7 × 6991

Starting at 4,697,952, the Collatz iteration reaches 1 after 162 steps. The first transition is 2348976; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 6991

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,095,872

Proper Divisor Sum 9,397,920

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4697951 ← → #4697963

Radix Representation

Decimal	4697952
Binary	10001111010111101100000 (23 bits)
Octal	0o21727540
Hexadecimal	0x47AF60

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 6,991 13,982 20,973 27,964 41,946 48,937 55,928 83,892 97,874 111,856 146,811 167,784 195,748 223,712 293,622 335,568 391,496 587,244 671,136 782,992 1,174,488 1,565,984 2,348,976 4,697,952

Collatz Trajectory (162 steps to reach 1)

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

4,697,952 2,348,976 1,174,488 587,244 293,622 146,811 440,434 220,217 660,652 330,326 165,163 495,490 247,745 743,236 371,618 185,809 557,428 278,714 139,357 418,072 209,036 104,518 52,259 156,778 78,389 235,168 117,584 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142

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