2,720,064

2⁶ × 3 × 31 × 457

Starting at 2,720,064, the Collatz iteration reaches 1 after 63 steps. The first transition is 1360032; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 31 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 7,445,248

Proper Divisor Sum 4,725,184

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2720009 ← → #2720071

Radix Representation

Decimal	2720064
Binary	1010011000000101000000 (22 bits)
Octal	0o12300500
Hexadecimal	0x298140

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 457 496 744 914 992 1,371 1,488 1,828 1,984 2,742 2,976 3,656 5,484 5,952 7,312 10,968 14,167 14,624 21,936 28,334 29,248 42,501 43,872 56,668 85,002 87,744 113,336 170,004 226,672 340,008 453,344 680,016 906,688 1,360,032 2,720,064

Collatz Trajectory (63 steps to reach 1)

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

2,720,064 1,360,032 680,016 340,008 170,004 85,002 42,501 127,504 63,752 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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