708,478

2 × 47 × 7537

Starting at 708,478, the Collatz iteration reaches 1 after 167 steps. The first transition is 354239; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 47 × 7537

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,085,472

Proper Divisor Sum 376,994

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #708473 ← → #708479

Radix Representation

Decimal	708478
Binary	10101100111101111110 (20 bits)
Octal	0o2547576
Hexadecimal	0xACF7E

Divisor Catalog (8)

1 2 47 94 7,537 15,074 354,239 708,478

Collatz Trajectory (167 steps to reach 1)

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

708,478 354,239 1,062,718 531,359 1,594,078 797,039 2,391,118 1,195,559 3,586,678 1,793,339 5,380,018 2,690,009 8,070,028 4,035,014 2,017,507 6,052,522 3,026,261 9,078,784 4,539,392 2,269,696 1,134,848 567,424 283,712 141,856 70,928 35,464 17,732 8,866 4,433 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125

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