7,078,432

2⁵ × 221201

7,078,432 factors as 2^5 × 221201. Its 12 positive divisors give a proper-divisor sum of 6,857,294, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^5 × 221201

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,935,726

Proper Divisor Sum 6,857,294

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7078399 ← → #7078439

Radix Representation

Decimal	7078432
Binary	11011000000001000100000 (23 bits)
Octal	0o33001040
Hexadecimal	0x6C0220

Divisor Catalog (12)

1 2 4 8 16 32 221,201 442,402 884,804 1,769,608 3,539,216 7,078,432

Collatz Trajectory (98 steps to reach 1)

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

7,078,432 3,539,216 1,769,608 884,804 442,402 221,201 663,604 331,802 165,901 497,704 248,852 124,426 62,213 186,640 93,320 46,660 23,330 11,665 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209

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