5,332,120

2³ × 5 × 133303

Starting at 5,332,120, the Collatz iteration reaches 1 after 157 steps. The first transition is 2666060; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 133303

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,997,360

Proper Divisor Sum 6,665,240

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #5332111 ← → #5332121

Radix Representation

Decimal	5332120
Binary	10100010101110010011000 (23 bits)
Octal	0o24256230
Hexadecimal	0x515C98

Divisor Catalog (16)

1 2 4 5 8 10 20 40 133,303 266,606 533,212 666,515 1,066,424 1,333,030 2,666,060 5,332,120

Collatz Trajectory (157 steps to reach 1)

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

5,332,120 2,666,060 1,333,030 666,515 1,999,546 999,773 2,999,320 1,499,660 749,830 374,915 1,124,746 562,373 1,687,120 843,560 421,780 210,890 105,445 316,336 158,168 79,084 39,542 19,771 59,314 29,657 88,972 44,486 22,243 66,730 33,365 100,096 50,048 25,024 12,512 6,256 3,128 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161

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