7,444,832

2⁵ × 73 × 3187

Starting at 7,444,832, the Collatz iteration reaches 1 after 67 steps. The first transition is 3722416; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 73 × 3187

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,862,456

Proper Divisor Sum 7,417,624

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7444823 ← → #7444841

Radix Representation

Decimal	7444832
Binary	11100011001100101100000 (23 bits)
Octal	0o34314540
Hexadecimal	0x719960

Divisor Catalog (24)

1 2 4 8 16 32 73 146 292 584 1,168 2,336 3,187 6,374 12,748 25,496 50,992 101,984 232,651 465,302 930,604 1,861,208 3,722,416 7,444,832

Collatz Trajectory (67 steps to reach 1)

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

7,444,832 3,722,416 1,861,208 930,604 465,302 232,651 697,954 348,977 1,046,932 523,466 261,733 785,200 392,600 196,300 98,150 49,075 147,226 73,613 220,840 110,420 55,210 27,605 82,816 41,408 20,704 10,352 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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