4,738,117

47 × 100811

Starting at 4,738,117, the Collatz iteration reaches 1 after 162 steps. The first transition is 14214352; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 47 × 100811

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,838,976

Proper Divisor Sum 100,859

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4738099 ← → #4738141

Radix Representation

Decimal	4738117
Binary	10010000100110001000101 (23 bits)
Octal	0o22046105
Hexadecimal	0x484C45

Divisor Catalog (4)

1 47 100,811 4,738,117

Collatz Trajectory (162 steps to reach 1)

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

4,738,117 14,214,352 7,107,176 3,553,588 1,776,794 888,397 2,665,192 1,332,596 666,298 333,149 999,448 499,724 249,862 124,931 374,794 187,397 562,192 281,096 140,548 70,274 35,137 105,412 52,706 26,353 79,060 39,530 19,765 59,296 29,648 14,824 7,412 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142

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